Abstract

Vibration suppression in astronomical adaptive optics (AO) systems has gathered great attention in the context of next-generation instrumentation for current telescopes and future Extremely Large Telescopes. Laser tomographic AO systems require natural guide stars to measure the low-order modes such as tip–tilt (TT) and TT-anisoplanatism. To increase the sky coverage, the guide stars are often faint, thus requiring lower temporal sampling frequencies to work on a more favorable signal-to-noise regime. Such sampling frequencies can be of the order of, or even lower than, the range of frequencies where vibrations are likely to appear. Ideally, vibrations affecting the low-order modes could be corrected at the higher laser loop frame rate using an upsampling procedure. This paper compares the most relevant solutions proposed hitherto to a novel multirate algorithm using the linear-quadratic-Gaussian (LQG) approach capable of upsampling the correction to further reduce the impact of vibrations. Results from numerical Monte Carlo simulations span a large range of parameters from pure sinusoids to relatively broad peak vibrations, covering the likely-to-be signals in a realistic AO system. The improvement is shown at sampling frequencies from 20 to 800 Hz, including below the vibration itself, in the example of 29.5 Hz on a Thirty Meter Telescope-like scenario. The multirate LQG ensures the least residual for both faint and bright stars for all the peak widths considered based on telemetry from the Keck Observatory.

© 2012 Optical Society of America

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2011 (1)

H.-F. Raynaud, C. Correia, C. Kulcsár, and J.-M. Conan, “Minimum-variance control of astronomical adaptive optics systems with actuator dynamics under synchronous and asynchronous sampling,” Int. J. Robust Nonlinear Control 21, 768–789 (2011).
[CrossRef]

2010 (9)

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

G. Herriot, D. Andersen, J. Atwood, C. Boyer, A. Beauvillier, P. Byrnes, R. Conan, B. Ellerbroek, J. Fitzsimmons, L. Gilles, P. Hickson, A. Hill, K. Jackson, O. Lardière, J. Pazder, T. Pfrommer, V. Reshetov, S. Roberts, J.-P. Véran, L. Wang, and I. Wevers, “NFIRAOS: TMT’s facility adaptive optics system,” Proc. SPIE 7736, 77360B (2010).
[CrossRef]

S. D’Odorico, S. Ramsay, N. Hubin, J. C. Gonzales, and F. M. Zerbi, “An introduction to the E-ELT instrumentation and post-focal adaptive optics module studies,” Messenger 140, 17 (2010).

W. Skidmore, T. Travouillon, R. Riddle, K. Kinoshita, R. Johnston, P. Murg, H. Thompson, R. Matsuda, M. Colavita, G. Tolleth, R. Goodrich, E. Chock, H. Lewis, and S. Panteleev, “Experiments at the W. M. Keck Observatory to support the Thirty Meter Telescope design work,” Proc. SPIE 7733773350 (2010).
[CrossRef]

J. Borelli, J. Trowitzsch, M. Brix, M. Kürster, W. Gässler, T. Bertram, and F. Briegel, “The LBT real-time based control software to mitigate and compensate vibrations,” Proc. SPIE 7740, 774005 (2010).
[CrossRef]

J. Véran, C. Irving, A. Beauvillier, and G. Herriot, “Implementation of type-II tip-tilt control in NFIRAOS with woofer-tweeter and vibration cancellation,” Proc. SPIE 7736, 77364I (2010).
[CrossRef]

C. Correia, H.-F. Raynaud, C. Kulcsár, and J.-M. Conan, “On the optimal reconstruction and control of adaptive optical systems with mirroir dynamics,” J. Opt. Soc. Am. A 27, 333–349 (2010).
[CrossRef]

S. Meimon, C. Petit, T. Fusco, and C. Kulcsar, “Tip–tilt disturbance model identification for Kalman-based control scheme: application to XAO and ELT systems,” J. Opt. Soc. Am. A 27, A122–A132 (2010).
[CrossRef]

L. A. Poyneer and J.-P. Véran, “Kalman filtering to suppress spurious signals in adaptive optics control,” J. Opt. Soc. Am. A 27, A223–A234 (2010).
[CrossRef]

2009 (1)

2008 (3)

H. F. Raynaud, C. Kulcsár, C. Correia da Silva, and J.-M. Conan, “Multirate LQG AO control,” Proc. SPIE 7015, 701538 (2008).
[CrossRef]

N. D. Lieto, P. Haguenauer, J. Sahlmann, and G. Vasisht, “Adaptive vibration cancellation on large telescopes for stellar interferometry,” Proc. SPIE 7013, 70130H (2008).
[CrossRef]

C. Petit, J.-M. Conan, C. Kulcsár, H.-F. Raynaud, and T. Fusco, “First laboratory validation of vibration filtering with LQG control law for adaptive optics,” Opt. Express 16, 87–97(2008).
[CrossRef]

2004 (1)

Y. Clenet, M. E. Kasper, N. Ageorges, C. Lidman, T. Fusco, O. Marco, M. Hartung, D. Mouillet, B. Koehler, G. Rousset, and N. N. Hubin, “NACO performance: status after 2 years of operation,” Proc. SPIE 5490, 107–117 (2004).
[CrossRef]

2003 (1)

M. Hess, C. E. Nance, J. W. Vause, M. Hrynevych, M. R. Swain, and M. Colavita, “Strategy for identifying and mitigating facility vibrations to improve optical performance at the W. M. Keck Observatory,” Proc. SPIE 4837, 342–351 (2003).
[CrossRef]

Adkins, S.

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

Ageorges, N.

Y. Clenet, M. E. Kasper, N. Ageorges, C. Lidman, T. Fusco, O. Marco, M. Hartung, D. Mouillet, B. Koehler, G. Rousset, and N. N. Hubin, “NACO performance: status after 2 years of operation,” Proc. SPIE 5490, 107–117 (2004).
[CrossRef]

Andersen, D.

G. Herriot, D. Andersen, J. Atwood, C. Boyer, A. Beauvillier, P. Byrnes, R. Conan, B. Ellerbroek, J. Fitzsimmons, L. Gilles, P. Hickson, A. Hill, K. Jackson, O. Lardière, J. Pazder, T. Pfrommer, V. Reshetov, S. Roberts, J.-P. Véran, L. Wang, and I. Wevers, “NFIRAOS: TMT’s facility adaptive optics system,” Proc. SPIE 7736, 77360B (2010).
[CrossRef]

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

Anderson, B. D. O.

B. D. O. Anderson and J. B. Moore, Optimal Filtering (Dover, 1995).

Atwood, J.

G. Herriot, D. Andersen, J. Atwood, C. Boyer, A. Beauvillier, P. Byrnes, R. Conan, B. Ellerbroek, J. Fitzsimmons, L. Gilles, P. Hickson, A. Hill, K. Jackson, O. Lardière, J. Pazder, T. Pfrommer, V. Reshetov, S. Roberts, J.-P. Véran, L. Wang, and I. Wevers, “NFIRAOS: TMT’s facility adaptive optics system,” Proc. SPIE 7736, 77360B (2010).
[CrossRef]

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

Beauvillier, A.

J. Véran, C. Irving, A. Beauvillier, and G. Herriot, “Implementation of type-II tip-tilt control in NFIRAOS with woofer-tweeter and vibration cancellation,” Proc. SPIE 7736, 77364I (2010).
[CrossRef]

G. Herriot, D. Andersen, J. Atwood, C. Boyer, A. Beauvillier, P. Byrnes, R. Conan, B. Ellerbroek, J. Fitzsimmons, L. Gilles, P. Hickson, A. Hill, K. Jackson, O. Lardière, J. Pazder, T. Pfrommer, V. Reshetov, S. Roberts, J.-P. Véran, L. Wang, and I. Wevers, “NFIRAOS: TMT’s facility adaptive optics system,” Proc. SPIE 7736, 77360B (2010).
[CrossRef]

Bertram, T.

J. Borelli, J. Trowitzsch, M. Brix, M. Kürster, W. Gässler, T. Bertram, and F. Briegel, “The LBT real-time based control software to mitigate and compensate vibrations,” Proc. SPIE 7740, 774005 (2010).
[CrossRef]

Borelli, J.

J. Borelli, J. Trowitzsch, M. Brix, M. Kürster, W. Gässler, T. Bertram, and F. Briegel, “The LBT real-time based control software to mitigate and compensate vibrations,” Proc. SPIE 7740, 774005 (2010).
[CrossRef]

Boyer, C.

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

G. Herriot, D. Andersen, J. Atwood, C. Boyer, A. Beauvillier, P. Byrnes, R. Conan, B. Ellerbroek, J. Fitzsimmons, L. Gilles, P. Hickson, A. Hill, K. Jackson, O. Lardière, J. Pazder, T. Pfrommer, V. Reshetov, S. Roberts, J.-P. Véran, L. Wang, and I. Wevers, “NFIRAOS: TMT’s facility adaptive optics system,” Proc. SPIE 7736, 77360B (2010).
[CrossRef]

Briegel, F.

J. Borelli, J. Trowitzsch, M. Brix, M. Kürster, W. Gässler, T. Bertram, and F. Briegel, “The LBT real-time based control software to mitigate and compensate vibrations,” Proc. SPIE 7740, 774005 (2010).
[CrossRef]

Brix, M.

J. Borelli, J. Trowitzsch, M. Brix, M. Kürster, W. Gässler, T. Bertram, and F. Briegel, “The LBT real-time based control software to mitigate and compensate vibrations,” Proc. SPIE 7740, 774005 (2010).
[CrossRef]

Browne, S.

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

Byrnes, P.

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

G. Herriot, D. Andersen, J. Atwood, C. Boyer, A. Beauvillier, P. Byrnes, R. Conan, B. Ellerbroek, J. Fitzsimmons, L. Gilles, P. Hickson, A. Hill, K. Jackson, O. Lardière, J. Pazder, T. Pfrommer, V. Reshetov, S. Roberts, J.-P. Véran, L. Wang, and I. Wevers, “NFIRAOS: TMT’s facility adaptive optics system,” Proc. SPIE 7736, 77360B (2010).
[CrossRef]

Caputa, K.

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

Chock, E.

W. Skidmore, T. Travouillon, R. Riddle, K. Kinoshita, R. Johnston, P. Murg, H. Thompson, R. Matsuda, M. Colavita, G. Tolleth, R. Goodrich, E. Chock, H. Lewis, and S. Panteleev, “Experiments at the W. M. Keck Observatory to support the Thirty Meter Telescope design work,” Proc. SPIE 7733773350 (2010).
[CrossRef]

Clenet, Y.

Y. Clenet, M. E. Kasper, N. Ageorges, C. Lidman, T. Fusco, O. Marco, M. Hartung, D. Mouillet, B. Koehler, G. Rousset, and N. N. Hubin, “NACO performance: status after 2 years of operation,” Proc. SPIE 5490, 107–117 (2004).
[CrossRef]

Colavita, M.

W. Skidmore, T. Travouillon, R. Riddle, K. Kinoshita, R. Johnston, P. Murg, H. Thompson, R. Matsuda, M. Colavita, G. Tolleth, R. Goodrich, E. Chock, H. Lewis, and S. Panteleev, “Experiments at the W. M. Keck Observatory to support the Thirty Meter Telescope design work,” Proc. SPIE 7733773350 (2010).
[CrossRef]

M. Hess, C. E. Nance, J. W. Vause, M. Hrynevych, M. R. Swain, and M. Colavita, “Strategy for identifying and mitigating facility vibrations to improve optical performance at the W. M. Keck Observatory,” Proc. SPIE 4837, 342–351 (2003).
[CrossRef]

Conan, J.-M.

H.-F. Raynaud, C. Correia, C. Kulcsár, and J.-M. Conan, “Minimum-variance control of astronomical adaptive optics systems with actuator dynamics under synchronous and asynchronous sampling,” Int. J. Robust Nonlinear Control 21, 768–789 (2011).
[CrossRef]

C. Correia, H.-F. Raynaud, C. Kulcsár, and J.-M. Conan, “On the optimal reconstruction and control of adaptive optical systems with mirroir dynamics,” J. Opt. Soc. Am. A 27, 333–349 (2010).
[CrossRef]

H. F. Raynaud, C. Kulcsár, C. Correia da Silva, and J.-M. Conan, “Multirate LQG AO control,” Proc. SPIE 7015, 701538 (2008).
[CrossRef]

C. Petit, J.-M. Conan, C. Kulcsár, H.-F. Raynaud, and T. Fusco, “First laboratory validation of vibration filtering with LQG control law for adaptive optics,” Opt. Express 16, 87–97(2008).
[CrossRef]

Conan, R.

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

G. Herriot, D. Andersen, J. Atwood, C. Boyer, A. Beauvillier, P. Byrnes, R. Conan, B. Ellerbroek, J. Fitzsimmons, L. Gilles, P. Hickson, A. Hill, K. Jackson, O. Lardière, J. Pazder, T. Pfrommer, V. Reshetov, S. Roberts, J.-P. Véran, L. Wang, and I. Wevers, “NFIRAOS: TMT’s facility adaptive optics system,” Proc. SPIE 7736, 77360B (2010).
[CrossRef]

Correia, C.

H.-F. Raynaud, C. Correia, C. Kulcsár, and J.-M. Conan, “Minimum-variance control of astronomical adaptive optics systems with actuator dynamics under synchronous and asynchronous sampling,” Int. J. Robust Nonlinear Control 21, 768–789 (2011).
[CrossRef]

C. Correia, H.-F. Raynaud, C. Kulcsár, and J.-M. Conan, “On the optimal reconstruction and control of adaptive optical systems with mirroir dynamics,” J. Opt. Soc. Am. A 27, 333–349 (2010).
[CrossRef]

Correia da Silva, C.

H. F. Raynaud, C. Kulcsár, C. Correia da Silva, and J.-M. Conan, “Multirate LQG AO control,” Proc. SPIE 7015, 701538 (2008).
[CrossRef]

Cousty, R.

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

D’Odorico, S.

S. D’Odorico, S. Ramsay, N. Hubin, J. C. Gonzales, and F. M. Zerbi, “An introduction to the E-ELT instrumentation and post-focal adaptive optics module studies,” Messenger 140, 17 (2010).

Ellerbroek, B.

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

G. Herriot, D. Andersen, J. Atwood, C. Boyer, A. Beauvillier, P. Byrnes, R. Conan, B. Ellerbroek, J. Fitzsimmons, L. Gilles, P. Hickson, A. Hill, K. Jackson, O. Lardière, J. Pazder, T. Pfrommer, V. Reshetov, S. Roberts, J.-P. Véran, L. Wang, and I. Wevers, “NFIRAOS: TMT’s facility adaptive optics system,” Proc. SPIE 7736, 77360B (2010).
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L. Wang, B. Ellerbroek, and J. P. Veran, “High fidelity sky coverage analysis via time domain adaptive optics simulations,” Appl. Opt. 48, 5076–5087 (2009).
[CrossRef]

Erikson, D.

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

Fitzsimmons, J.

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

G. Herriot, D. Andersen, J. Atwood, C. Boyer, A. Beauvillier, P. Byrnes, R. Conan, B. Ellerbroek, J. Fitzsimmons, L. Gilles, P. Hickson, A. Hill, K. Jackson, O. Lardière, J. Pazder, T. Pfrommer, V. Reshetov, S. Roberts, J.-P. Véran, L. Wang, and I. Wevers, “NFIRAOS: TMT’s facility adaptive optics system,” Proc. SPIE 7736, 77360B (2010).
[CrossRef]

Fusco, T.

Gamache, F.

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

Gässler, W.

J. Borelli, J. Trowitzsch, M. Brix, M. Kürster, W. Gässler, T. Bertram, and F. Briegel, “The LBT real-time based control software to mitigate and compensate vibrations,” Proc. SPIE 7740, 774005 (2010).
[CrossRef]

Gilles, L.

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

G. Herriot, D. Andersen, J. Atwood, C. Boyer, A. Beauvillier, P. Byrnes, R. Conan, B. Ellerbroek, J. Fitzsimmons, L. Gilles, P. Hickson, A. Hill, K. Jackson, O. Lardière, J. Pazder, T. Pfrommer, V. Reshetov, S. Roberts, J.-P. Véran, L. Wang, and I. Wevers, “NFIRAOS: TMT’s facility adaptive optics system,” Proc. SPIE 7736, 77360B (2010).
[CrossRef]

Gonzales, J. C.

S. D’Odorico, S. Ramsay, N. Hubin, J. C. Gonzales, and F. M. Zerbi, “An introduction to the E-ELT instrumentation and post-focal adaptive optics module studies,” Messenger 140, 17 (2010).

Goodrich, R.

W. Skidmore, T. Travouillon, R. Riddle, K. Kinoshita, R. Johnston, P. Murg, H. Thompson, R. Matsuda, M. Colavita, G. Tolleth, R. Goodrich, E. Chock, H. Lewis, and S. Panteleev, “Experiments at the W. M. Keck Observatory to support the Thirty Meter Telescope design work,” Proc. SPIE 7733773350 (2010).
[CrossRef]

Haguenauer, P.

N. D. Lieto, P. Haguenauer, J. Sahlmann, and G. Vasisht, “Adaptive vibration cancellation on large telescopes for stellar interferometry,” Proc. SPIE 7013, 70130H (2008).
[CrossRef]

Hardy, J. W.

J. W. Hardy, Adaptive Optics for Astronomical Telescopes(Oxford, 1998).

Hartung, M.

Y. Clenet, M. E. Kasper, N. Ageorges, C. Lidman, T. Fusco, O. Marco, M. Hartung, D. Mouillet, B. Koehler, G. Rousset, and N. N. Hubin, “NACO performance: status after 2 years of operation,” Proc. SPIE 5490, 107–117 (2004).
[CrossRef]

Herriot, G.

G. Herriot, D. Andersen, J. Atwood, C. Boyer, A. Beauvillier, P. Byrnes, R. Conan, B. Ellerbroek, J. Fitzsimmons, L. Gilles, P. Hickson, A. Hill, K. Jackson, O. Lardière, J. Pazder, T. Pfrommer, V. Reshetov, S. Roberts, J.-P. Véran, L. Wang, and I. Wevers, “NFIRAOS: TMT’s facility adaptive optics system,” Proc. SPIE 7736, 77360B (2010).
[CrossRef]

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

J. Véran, C. Irving, A. Beauvillier, and G. Herriot, “Implementation of type-II tip-tilt control in NFIRAOS with woofer-tweeter and vibration cancellation,” Proc. SPIE 7736, 77364I (2010).
[CrossRef]

Hess, M.

M. Hess, C. E. Nance, J. W. Vause, M. Hrynevych, M. R. Swain, and M. Colavita, “Strategy for identifying and mitigating facility vibrations to improve optical performance at the W. M. Keck Observatory,” Proc. SPIE 4837, 342–351 (2003).
[CrossRef]

Hickson, P.

G. Herriot, D. Andersen, J. Atwood, C. Boyer, A. Beauvillier, P. Byrnes, R. Conan, B. Ellerbroek, J. Fitzsimmons, L. Gilles, P. Hickson, A. Hill, K. Jackson, O. Lardière, J. Pazder, T. Pfrommer, V. Reshetov, S. Roberts, J.-P. Véran, L. Wang, and I. Wevers, “NFIRAOS: TMT’s facility adaptive optics system,” Proc. SPIE 7736, 77360B (2010).
[CrossRef]

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

Hill, A.

G. Herriot, D. Andersen, J. Atwood, C. Boyer, A. Beauvillier, P. Byrnes, R. Conan, B. Ellerbroek, J. Fitzsimmons, L. Gilles, P. Hickson, A. Hill, K. Jackson, O. Lardière, J. Pazder, T. Pfrommer, V. Reshetov, S. Roberts, J.-P. Véran, L. Wang, and I. Wevers, “NFIRAOS: TMT’s facility adaptive optics system,” Proc. SPIE 7736, 77360B (2010).
[CrossRef]

Hrynevych, M.

M. Hess, C. E. Nance, J. W. Vause, M. Hrynevych, M. R. Swain, and M. Colavita, “Strategy for identifying and mitigating facility vibrations to improve optical performance at the W. M. Keck Observatory,” Proc. SPIE 4837, 342–351 (2003).
[CrossRef]

Hubin, N.

S. D’Odorico, S. Ramsay, N. Hubin, J. C. Gonzales, and F. M. Zerbi, “An introduction to the E-ELT instrumentation and post-focal adaptive optics module studies,” Messenger 140, 17 (2010).

Hubin, N. N.

Y. Clenet, M. E. Kasper, N. Ageorges, C. Lidman, T. Fusco, O. Marco, M. Hartung, D. Mouillet, B. Koehler, G. Rousset, and N. N. Hubin, “NACO performance: status after 2 years of operation,” Proc. SPIE 5490, 107–117 (2004).
[CrossRef]

Irving, C.

J. Véran, C. Irving, A. Beauvillier, and G. Herriot, “Implementation of type-II tip-tilt control in NFIRAOS with woofer-tweeter and vibration cancellation,” Proc. SPIE 7736, 77364I (2010).
[CrossRef]

Jackson, K.

G. Herriot, D. Andersen, J. Atwood, C. Boyer, A. Beauvillier, P. Byrnes, R. Conan, B. Ellerbroek, J. Fitzsimmons, L. Gilles, P. Hickson, A. Hill, K. Jackson, O. Lardière, J. Pazder, T. Pfrommer, V. Reshetov, S. Roberts, J.-P. Véran, L. Wang, and I. Wevers, “NFIRAOS: TMT’s facility adaptive optics system,” Proc. SPIE 7736, 77360B (2010).
[CrossRef]

Johnston, R.

W. Skidmore, T. Travouillon, R. Riddle, K. Kinoshita, R. Johnston, P. Murg, H. Thompson, R. Matsuda, M. Colavita, G. Tolleth, R. Goodrich, E. Chock, H. Lewis, and S. Panteleev, “Experiments at the W. M. Keck Observatory to support the Thirty Meter Telescope design work,” Proc. SPIE 7733773350 (2010).
[CrossRef]

Kasper, M. E.

Y. Clenet, M. E. Kasper, N. Ageorges, C. Lidman, T. Fusco, O. Marco, M. Hartung, D. Mouillet, B. Koehler, G. Rousset, and N. N. Hubin, “NACO performance: status after 2 years of operation,” Proc. SPIE 5490, 107–117 (2004).
[CrossRef]

Kinoshita, K.

W. Skidmore, T. Travouillon, R. Riddle, K. Kinoshita, R. Johnston, P. Murg, H. Thompson, R. Matsuda, M. Colavita, G. Tolleth, R. Goodrich, E. Chock, H. Lewis, and S. Panteleev, “Experiments at the W. M. Keck Observatory to support the Thirty Meter Telescope design work,” Proc. SPIE 7733773350 (2010).
[CrossRef]

Koehler, B.

Y. Clenet, M. E. Kasper, N. Ageorges, C. Lidman, T. Fusco, O. Marco, M. Hartung, D. Mouillet, B. Koehler, G. Rousset, and N. N. Hubin, “NACO performance: status after 2 years of operation,” Proc. SPIE 5490, 107–117 (2004).
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Kulcsar, C.

Kulcsár, C.

H.-F. Raynaud, C. Correia, C. Kulcsár, and J.-M. Conan, “Minimum-variance control of astronomical adaptive optics systems with actuator dynamics under synchronous and asynchronous sampling,” Int. J. Robust Nonlinear Control 21, 768–789 (2011).
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C. Correia, H.-F. Raynaud, C. Kulcsár, and J.-M. Conan, “On the optimal reconstruction and control of adaptive optical systems with mirroir dynamics,” J. Opt. Soc. Am. A 27, 333–349 (2010).
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H. F. Raynaud, C. Kulcsár, C. Correia da Silva, and J.-M. Conan, “Multirate LQG AO control,” Proc. SPIE 7015, 701538 (2008).
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C. Petit, J.-M. Conan, C. Kulcsár, H.-F. Raynaud, and T. Fusco, “First laboratory validation of vibration filtering with LQG control law for adaptive optics,” Opt. Express 16, 87–97(2008).
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Kürster, M.

J. Borelli, J. Trowitzsch, M. Brix, M. Kürster, W. Gässler, T. Bertram, and F. Briegel, “The LBT real-time based control software to mitigate and compensate vibrations,” Proc. SPIE 7740, 774005 (2010).
[CrossRef]

Lardier, O.

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

Lardière, O.

G. Herriot, D. Andersen, J. Atwood, C. Boyer, A. Beauvillier, P. Byrnes, R. Conan, B. Ellerbroek, J. Fitzsimmons, L. Gilles, P. Hickson, A. Hill, K. Jackson, O. Lardière, J. Pazder, T. Pfrommer, V. Reshetov, S. Roberts, J.-P. Véran, L. Wang, and I. Wevers, “NFIRAOS: TMT’s facility adaptive optics system,” Proc. SPIE 7736, 77360B (2010).
[CrossRef]

Lewis, H.

W. Skidmore, T. Travouillon, R. Riddle, K. Kinoshita, R. Johnston, P. Murg, H. Thompson, R. Matsuda, M. Colavita, G. Tolleth, R. Goodrich, E. Chock, H. Lewis, and S. Panteleev, “Experiments at the W. M. Keck Observatory to support the Thirty Meter Telescope design work,” Proc. SPIE 7733773350 (2010).
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Lidman, C.

Y. Clenet, M. E. Kasper, N. Ageorges, C. Lidman, T. Fusco, O. Marco, M. Hartung, D. Mouillet, B. Koehler, G. Rousset, and N. N. Hubin, “NACO performance: status after 2 years of operation,” Proc. SPIE 5490, 107–117 (2004).
[CrossRef]

Lieto, N. D.

N. D. Lieto, P. Haguenauer, J. Sahlmann, and G. Vasisht, “Adaptive vibration cancellation on large telescopes for stellar interferometry,” Proc. SPIE 7013, 70130H (2008).
[CrossRef]

Marco, O.

Y. Clenet, M. E. Kasper, N. Ageorges, C. Lidman, T. Fusco, O. Marco, M. Hartung, D. Mouillet, B. Koehler, G. Rousset, and N. N. Hubin, “NACO performance: status after 2 years of operation,” Proc. SPIE 5490, 107–117 (2004).
[CrossRef]

Matsuda, R.

W. Skidmore, T. Travouillon, R. Riddle, K. Kinoshita, R. Johnston, P. Murg, H. Thompson, R. Matsuda, M. Colavita, G. Tolleth, R. Goodrich, E. Chock, H. Lewis, and S. Panteleev, “Experiments at the W. M. Keck Observatory to support the Thirty Meter Telescope design work,” Proc. SPIE 7733773350 (2010).
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Meimon, S.

Moore, J. B.

B. D. O. Anderson and J. B. Moore, Optimal Filtering (Dover, 1995).

Morin, P.

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

Mouillet, D.

Y. Clenet, M. E. Kasper, N. Ageorges, C. Lidman, T. Fusco, O. Marco, M. Hartung, D. Mouillet, B. Koehler, G. Rousset, and N. N. Hubin, “NACO performance: status after 2 years of operation,” Proc. SPIE 5490, 107–117 (2004).
[CrossRef]

Murg, P.

W. Skidmore, T. Travouillon, R. Riddle, K. Kinoshita, R. Johnston, P. Murg, H. Thompson, R. Matsuda, M. Colavita, G. Tolleth, R. Goodrich, E. Chock, H. Lewis, and S. Panteleev, “Experiments at the W. M. Keck Observatory to support the Thirty Meter Telescope design work,” Proc. SPIE 7733773350 (2010).
[CrossRef]

Nance, C. E.

M. Hess, C. E. Nance, J. W. Vause, M. Hrynevych, M. R. Swain, and M. Colavita, “Strategy for identifying and mitigating facility vibrations to improve optical performance at the W. M. Keck Observatory,” Proc. SPIE 4837, 342–351 (2003).
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Oppenheim, A. V.

A. V. Oppenheim and A. S. Willsky, Signals & Systems, 2nd ed. (Prentice-Hall, 1997).

Panteleev, S.

W. Skidmore, T. Travouillon, R. Riddle, K. Kinoshita, R. Johnston, P. Murg, H. Thompson, R. Matsuda, M. Colavita, G. Tolleth, R. Goodrich, E. Chock, H. Lewis, and S. Panteleev, “Experiments at the W. M. Keck Observatory to support the Thirty Meter Telescope design work,” Proc. SPIE 7733773350 (2010).
[CrossRef]

Pazder, J.

G. Herriot, D. Andersen, J. Atwood, C. Boyer, A. Beauvillier, P. Byrnes, R. Conan, B. Ellerbroek, J. Fitzsimmons, L. Gilles, P. Hickson, A. Hill, K. Jackson, O. Lardière, J. Pazder, T. Pfrommer, V. Reshetov, S. Roberts, J.-P. Véran, L. Wang, and I. Wevers, “NFIRAOS: TMT’s facility adaptive optics system,” Proc. SPIE 7736, 77360B (2010).
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B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

Petit, C.

Pfrommer, T.

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

G. Herriot, D. Andersen, J. Atwood, C. Boyer, A. Beauvillier, P. Byrnes, R. Conan, B. Ellerbroek, J. Fitzsimmons, L. Gilles, P. Hickson, A. Hill, K. Jackson, O. Lardière, J. Pazder, T. Pfrommer, V. Reshetov, S. Roberts, J.-P. Véran, L. Wang, and I. Wevers, “NFIRAOS: TMT’s facility adaptive optics system,” Proc. SPIE 7736, 77360B (2010).
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Poyneer, L.

J.-P. Veran and L. Poyneer, “Characterization of the T/T conditions at Gemini using adaptive optics telemetry data,” in Proceedings of 1st AO4ELT Conference—Adaptative Optics for Extremely Large Telescopes, T. F. Y. Clénet, J.-M. Conan, and G. Rousset, eds. (EDP Sciences, 2009), paper 05002.

Poyneer, L. A.

Quinn, D.

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
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Ramsay, S.

S. D’Odorico, S. Ramsay, N. Hubin, J. C. Gonzales, and F. M. Zerbi, “An introduction to the E-ELT instrumentation and post-focal adaptive optics module studies,” Messenger 140, 17 (2010).

Raynaud, H. F.

H. F. Raynaud, C. Kulcsár, C. Correia da Silva, and J.-M. Conan, “Multirate LQG AO control,” Proc. SPIE 7015, 701538 (2008).
[CrossRef]

Raynaud, H.-F.

Reshetov, V.

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

G. Herriot, D. Andersen, J. Atwood, C. Boyer, A. Beauvillier, P. Byrnes, R. Conan, B. Ellerbroek, J. Fitzsimmons, L. Gilles, P. Hickson, A. Hill, K. Jackson, O. Lardière, J. Pazder, T. Pfrommer, V. Reshetov, S. Roberts, J.-P. Véran, L. Wang, and I. Wevers, “NFIRAOS: TMT’s facility adaptive optics system,” Proc. SPIE 7736, 77360B (2010).
[CrossRef]

Riddle, R.

W. Skidmore, T. Travouillon, R. Riddle, K. Kinoshita, R. Johnston, P. Murg, H. Thompson, R. Matsuda, M. Colavita, G. Tolleth, R. Goodrich, E. Chock, H. Lewis, and S. Panteleev, “Experiments at the W. M. Keck Observatory to support the Thirty Meter Telescope design work,” Proc. SPIE 7733773350 (2010).
[CrossRef]

Roberts, S.

G. Herriot, D. Andersen, J. Atwood, C. Boyer, A. Beauvillier, P. Byrnes, R. Conan, B. Ellerbroek, J. Fitzsimmons, L. Gilles, P. Hickson, A. Hill, K. Jackson, O. Lardière, J. Pazder, T. Pfrommer, V. Reshetov, S. Roberts, J.-P. Véran, L. Wang, and I. Wevers, “NFIRAOS: TMT’s facility adaptive optics system,” Proc. SPIE 7736, 77360B (2010).
[CrossRef]

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

Roddier, F.

F. Roddier, Adaptive Optics in Astronomy (Cambridge University, 1999).

Rousset, G.

Y. Clenet, M. E. Kasper, N. Ageorges, C. Lidman, T. Fusco, O. Marco, M. Hartung, D. Mouillet, B. Koehler, G. Rousset, and N. N. Hubin, “NACO performance: status after 2 years of operation,” Proc. SPIE 5490, 107–117 (2004).
[CrossRef]

Sahlmann, J.

N. D. Lieto, P. Haguenauer, J. Sahlmann, and G. Vasisht, “Adaptive vibration cancellation on large telescopes for stellar interferometry,” Proc. SPIE 7013, 70130H (2008).
[CrossRef]

Schoeck, M.

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

Sinquin, J.-C.

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

Skidmore, W.

W. Skidmore, T. Travouillon, R. Riddle, K. Kinoshita, R. Johnston, P. Murg, H. Thompson, R. Matsuda, M. Colavita, G. Tolleth, R. Goodrich, E. Chock, H. Lewis, and S. Panteleev, “Experiments at the W. M. Keck Observatory to support the Thirty Meter Telescope design work,” Proc. SPIE 7733773350 (2010).
[CrossRef]

Smith, M.

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

Söderström, T.

T. Söderström, Discrete-Time Stochastic Systems, Advanced Textbooks in Control and Signal Processing (Springer-Verlag, 2002).

Swain, M. R.

M. Hess, C. E. Nance, J. W. Vause, M. Hrynevych, M. R. Swain, and M. Colavita, “Strategy for identifying and mitigating facility vibrations to improve optical performance at the W. M. Keck Observatory,” Proc. SPIE 4837, 342–351 (2003).
[CrossRef]

Thompson, H.

W. Skidmore, T. Travouillon, R. Riddle, K. Kinoshita, R. Johnston, P. Murg, H. Thompson, R. Matsuda, M. Colavita, G. Tolleth, R. Goodrich, E. Chock, H. Lewis, and S. Panteleev, “Experiments at the W. M. Keck Observatory to support the Thirty Meter Telescope design work,” Proc. SPIE 7733773350 (2010).
[CrossRef]

Tolleth, G.

W. Skidmore, T. Travouillon, R. Riddle, K. Kinoshita, R. Johnston, P. Murg, H. Thompson, R. Matsuda, M. Colavita, G. Tolleth, R. Goodrich, E. Chock, H. Lewis, and S. Panteleev, “Experiments at the W. M. Keck Observatory to support the Thirty Meter Telescope design work,” Proc. SPIE 7733773350 (2010).
[CrossRef]

Travouillon, T.

W. Skidmore, T. Travouillon, R. Riddle, K. Kinoshita, R. Johnston, P. Murg, H. Thompson, R. Matsuda, M. Colavita, G. Tolleth, R. Goodrich, E. Chock, H. Lewis, and S. Panteleev, “Experiments at the W. M. Keck Observatory to support the Thirty Meter Telescope design work,” Proc. SPIE 7733773350 (2010).
[CrossRef]

Trowitzsch, J.

J. Borelli, J. Trowitzsch, M. Brix, M. Kürster, W. Gässler, T. Bertram, and F. Briegel, “The LBT real-time based control software to mitigate and compensate vibrations,” Proc. SPIE 7740, 774005 (2010).
[CrossRef]

Tyler, G.

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

Vasisht, G.

N. D. Lieto, P. Haguenauer, J. Sahlmann, and G. Vasisht, “Adaptive vibration cancellation on large telescopes for stellar interferometry,” Proc. SPIE 7013, 70130H (2008).
[CrossRef]

Vaughn, J.

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

Vause, J. W.

M. Hess, C. E. Nance, J. W. Vause, M. Hrynevych, M. R. Swain, and M. Colavita, “Strategy for identifying and mitigating facility vibrations to improve optical performance at the W. M. Keck Observatory,” Proc. SPIE 4837, 342–351 (2003).
[CrossRef]

Veran, J. P.

Veran, J.-P.

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

J.-P. Veran and L. Poyneer, “Characterization of the T/T conditions at Gemini using adaptive optics telemetry data,” in Proceedings of 1st AO4ELT Conference—Adaptative Optics for Extremely Large Telescopes, T. F. Y. Clénet, J.-M. Conan, and G. Rousset, eds. (EDP Sciences, 2009), paper 05002.

Véran, J.

J. Véran, C. Irving, A. Beauvillier, and G. Herriot, “Implementation of type-II tip-tilt control in NFIRAOS with woofer-tweeter and vibration cancellation,” Proc. SPIE 7736, 77364I (2010).
[CrossRef]

Véran, J.-P.

L. A. Poyneer and J.-P. Véran, “Kalman filtering to suppress spurious signals in adaptive optics control,” J. Opt. Soc. Am. A 27, A223–A234 (2010).
[CrossRef]

G. Herriot, D. Andersen, J. Atwood, C. Boyer, A. Beauvillier, P. Byrnes, R. Conan, B. Ellerbroek, J. Fitzsimmons, L. Gilles, P. Hickson, A. Hill, K. Jackson, O. Lardière, J. Pazder, T. Pfrommer, V. Reshetov, S. Roberts, J.-P. Véran, L. Wang, and I. Wevers, “NFIRAOS: TMT’s facility adaptive optics system,” Proc. SPIE 7736, 77360B (2010).
[CrossRef]

Vogel, C.

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

Wang, L.

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

G. Herriot, D. Andersen, J. Atwood, C. Boyer, A. Beauvillier, P. Byrnes, R. Conan, B. Ellerbroek, J. Fitzsimmons, L. Gilles, P. Hickson, A. Hill, K. Jackson, O. Lardière, J. Pazder, T. Pfrommer, V. Reshetov, S. Roberts, J.-P. Véran, L. Wang, and I. Wevers, “NFIRAOS: TMT’s facility adaptive optics system,” Proc. SPIE 7736, 77360B (2010).
[CrossRef]

L. Wang, B. Ellerbroek, and J. P. Veran, “High fidelity sky coverage analysis via time domain adaptive optics simulations,” Appl. Opt. 48, 5076–5087 (2009).
[CrossRef]

Wevers, I.

G. Herriot, D. Andersen, J. Atwood, C. Boyer, A. Beauvillier, P. Byrnes, R. Conan, B. Ellerbroek, J. Fitzsimmons, L. Gilles, P. Hickson, A. Hill, K. Jackson, O. Lardière, J. Pazder, T. Pfrommer, V. Reshetov, S. Roberts, J.-P. Véran, L. Wang, and I. Wevers, “NFIRAOS: TMT’s facility adaptive optics system,” Proc. SPIE 7736, 77360B (2010).
[CrossRef]

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

Willsky, A. S.

A. V. Oppenheim and A. S. Willsky, Signals & Systems, 2nd ed. (Prentice-Hall, 1997).

Zerbi, F. M.

S. D’Odorico, S. Ramsay, N. Hubin, J. C. Gonzales, and F. M. Zerbi, “An introduction to the E-ELT instrumentation and post-focal adaptive optics module studies,” Messenger 140, 17 (2010).

Appl. Opt. (1)

Int. J. Robust Nonlinear Control (1)

H.-F. Raynaud, C. Correia, C. Kulcsár, and J.-M. Conan, “Minimum-variance control of astronomical adaptive optics systems with actuator dynamics under synchronous and asynchronous sampling,” Int. J. Robust Nonlinear Control 21, 768–789 (2011).
[CrossRef]

J. Opt. Soc. Am. A (3)

Messenger (1)

S. D’Odorico, S. Ramsay, N. Hubin, J. C. Gonzales, and F. M. Zerbi, “An introduction to the E-ELT instrumentation and post-focal adaptive optics module studies,” Messenger 140, 17 (2010).

Opt. Express (1)

Proc. SPIE (8)

W. Skidmore, T. Travouillon, R. Riddle, K. Kinoshita, R. Johnston, P. Murg, H. Thompson, R. Matsuda, M. Colavita, G. Tolleth, R. Goodrich, E. Chock, H. Lewis, and S. Panteleev, “Experiments at the W. M. Keck Observatory to support the Thirty Meter Telescope design work,” Proc. SPIE 7733773350 (2010).
[CrossRef]

B. Ellerbroek, S. Adkins, D. Andersen, J. Atwood, S. Browne, C. Boyer, P. Byrnes, K. Caputa, R. Conan, R. Cousty, D. Erikson, J. Fitzsimmons, F. Gamache, L. Gilles, G. Herriot, P. Hickson, O. Lardier, P. Morin, J. Pazder, T. Pfrommer, D. Quinn, V. Reshetov, S. Roberts, J.-C. Sinquin, M. Schoeck, M. Smith, G. Tyler, J. Vaughn, J.-P. Veran, C. Vogel, L. Wang, and I. Wevers, “First light adaptive optics systems and components for the thirty meter telescope,” Proc. SPIE 7736, 773604 (2010).
[CrossRef]

G. Herriot, D. Andersen, J. Atwood, C. Boyer, A. Beauvillier, P. Byrnes, R. Conan, B. Ellerbroek, J. Fitzsimmons, L. Gilles, P. Hickson, A. Hill, K. Jackson, O. Lardière, J. Pazder, T. Pfrommer, V. Reshetov, S. Roberts, J.-P. Véran, L. Wang, and I. Wevers, “NFIRAOS: TMT’s facility adaptive optics system,” Proc. SPIE 7736, 77360B (2010).
[CrossRef]

M. Hess, C. E. Nance, J. W. Vause, M. Hrynevych, M. R. Swain, and M. Colavita, “Strategy for identifying and mitigating facility vibrations to improve optical performance at the W. M. Keck Observatory,” Proc. SPIE 4837, 342–351 (2003).
[CrossRef]

Y. Clenet, M. E. Kasper, N. Ageorges, C. Lidman, T. Fusco, O. Marco, M. Hartung, D. Mouillet, B. Koehler, G. Rousset, and N. N. Hubin, “NACO performance: status after 2 years of operation,” Proc. SPIE 5490, 107–117 (2004).
[CrossRef]

N. D. Lieto, P. Haguenauer, J. Sahlmann, and G. Vasisht, “Adaptive vibration cancellation on large telescopes for stellar interferometry,” Proc. SPIE 7013, 70130H (2008).
[CrossRef]

J. Véran, C. Irving, A. Beauvillier, and G. Herriot, “Implementation of type-II tip-tilt control in NFIRAOS with woofer-tweeter and vibration cancellation,” Proc. SPIE 7736, 77364I (2010).
[CrossRef]

H. F. Raynaud, C. Kulcsár, C. Correia da Silva, and J.-M. Conan, “Multirate LQG AO control,” Proc. SPIE 7015, 701538 (2008).
[CrossRef]

Other (7)

B. D. O. Anderson and J. B. Moore, Optimal Filtering (Dover, 1995).

A. V. Oppenheim and A. S. Willsky, Signals & Systems, 2nd ed. (Prentice-Hall, 1997).

J.-P. Veran and L. Poyneer, “Characterization of the T/T conditions at Gemini using adaptive optics telemetry data,” in Proceedings of 1st AO4ELT Conference—Adaptative Optics for Extremely Large Telescopes, T. F. Y. Clénet, J.-M. Conan, and G. Rousset, eds. (EDP Sciences, 2009), paper 05002.

F. Roddier, Adaptive Optics in Astronomy (Cambridge University, 1999).

J. W. Hardy, Adaptive Optics for Astronomical Telescopes(Oxford, 1998).

J. Borelli, J. Trowitzsch, M. Brix, M. Kürster, W. Gässler, T. Bertram, and F. Briegel, “The LBT real-time based control software to mitigate and compensate vibrations,” Proc. SPIE 7740, 774005 (2010).
[CrossRef]

T. Söderström, Discrete-Time Stochastic Systems, Advanced Textbooks in Control and Signal Processing (Springer-Verlag, 2002).

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Figures (7)

Fig. 1.
Fig. 1.

Variance ratio of a vibration averaged over a 1/fs width window to its original continuous representation, given by a sinc2 function. For fs=10fvib the ratio is 0.968, whereas for fs=100fvib the ratio is 0.999.

Fig. 2.
Fig. 2.

Closed-loop control architecture of a standard AO system. Solid lines for continuous-time signals and dashed lines for discrete-time signals (dash-dotted red for fmax=800Hz and dashed blue for fsfmax). The upsampling blocks (upward pointing arrows) are zero-order-hold blocks. The two windows below θvib represent a pure sinusoid and Gaussian white noise filtered by a second-order model (damped vibrations), respectively—see Fig. 3. Both these disturbances are used as input in the simulations. A constant servo lag of τ=1ms is used to represent real-time computer delays in the loop.

Fig. 3.
Fig. 3.

Left: Vibration PSD at Keck with identified models of the second order at frequencies 1.85, 9.8, 29.4, and 225 Hz. Center: Vibrations chosen to illustrate the numerical results. Model parameters are indicated in the legend of the figure. Right: Atmospheric TT+ wind-shake disturbance power spectral density.

Fig. 4.
Fig. 4.

Comparison of vibration suppression algorithms when the vibration is a constant-amplitude, constant-frequency monochromatic sinusoid. Solid line: AVCA. Dashed line: Single-rate LQG. Dash-dotted line: Multirate LQG.

Fig. 5.
Fig. 5.

Signal and noise transfer functions at fs=100Hz for the LQG controllers using an exactly discretized vibration model (black) or an AR2 model (red).

Fig. 6.
Fig. 6.

Performance comparison of the new multirate algorithm with the single-rate one using a continuous phase model, a single rate using a discrete phase model [CASES (ii-a) and (ii-b)], and the AVCA (see full-color key in Fig. 4). Upper panel: σw=1.1masrms. Bottom panel: σw=1.1masrms, relative to two working points with different star magnitudes (see Table 1).

Fig. 7.
Fig. 7.

Power-spectral density plots zoomed around fvib=29.5Hz of the uncorrected disturbance and the residual obtained with three vibration suppression strategies for fs=100Hz and (left to right) Δf={1.37,,0.0274}. The multirate approach strongly smears the vibration peak, whereas the AVCA leaves a broadband residual. The single-rate LQG+Arkansas2 model [CASE (ii-a)] is not well suited for vibration suppression at this frame rate, since its vibration rejection is ineffective (see Fig. 1).

Tables (1)

Tables Icon

Table 1. Parameters Used in the End-to-End Monte Carlo Numerical Simulationsa

Equations (62)

Equations on this page are rendered with MathJax. Learn more.

θ¨(t)+2ξω0θ˙(t)+ω02θ(t)=ω02ν(t),
θ(t)=ω0eξω0t1ξ2sin(2π1ξ2ω0t).
{x˙vib=Avibxvib+Γvibνθ=Cvibxvib,
(η¨η˙)=(2ξω0ω0210)(η˙η)+(10)ν,
θ=(0ω02)(η˙η),
uk=Kxkvib,
uk=Nθ¯k+1,
θ¯k+11TkT(k+1)Tθ(t)dt
H(z)=εk12eξω02Tscos(ω0Ts1ξ2)z1+e2ξω02Tsz2,
θk+1=α1θk+α2θk1+εk,
α1=2eξω02Tscos(ω0Ts1ξ2),
α2=e2ξω02Ts.
yk=D1Ts(k1)TskTsθ(t)dtθ¯kDNuk1+wk,
uk1u(t),t[(k1)Ts,kTs],
{xk+1vib=Avibxkvib+Bvibukvib+Γvibεkyk=Cvibxkvib+wk
(θk+2θk+1uk)xk+1vib=(α1α20100000)Avib(θk+1θkuk1)xkvib+(001)Bvibukvib+(100)Γvibεk,
yk=D(01N)Cvibxkvib+wk.
L=AvibH=AvibΣCvibT(CvibΣCvibT+Σw)1,
Σ=AvibΣAvibT+ΣεAvibΣCvibT(CvibΣCvibT+Σw)1CvibΣAvibT.
Σε=Σθ(1α12α222α12α21α2),
Σθ=AvibΣθAvibT+Σε,
x^k|k=x^k|k1+H(ykCvibx^k|k1),
x^k+1|k=Avibx^k|k+Bvibukvib,
uk=[100]x^k|k=Nθ^k+1,
(η1η2)k+1=eAvibTs(η1η2)k+εkvib,
θk=(0ω02)(η1η2)k,
θ¯k+1=1TskTs(k+1)Tsθ(t)dt=1TsCvib(eAvibTsI)Avib1(η1η2)k=Ξvib(η1η2)k.
([η1η2]K+1θ¯k+1θ¯kuk)=([eAvibT]000[Ξvib]000[0]100[0]000)([η1η2]Kθ¯kθ¯k1uk1)+([00]001)uk+εk,
yk=D([00]01N)xkvib+wk,
{xi+1nvib=Avib,fxinvib+ϵinθ¯in=Ξvib,fxinvib,
{xk+1vib=(Avib,f)nxkvib+εkvib,MRθ¯k=Ξvibxkvib,
θ¯k+1=Ξvib,fni=0n1(Avib,f)i
=Ξvib,fni=0n1(eAvibTf)i.
limn+Ξvib,fni=0n1(eAvibTf)i=1Ts0TseAvibtdt
=1TsCvib(eAvibTsI)Avib1
=Ξvib,
ΣεvibMR=i=0n1(Avib,f)iΣϵ(Avib,fT)i,
ΣwMR=Σw+1n2DCvibi=0n1[(I+j=0i(Avib,f)j)Σϵ(I+j=0i(Avib,f)j)T]CvibTDT,
ΣεvibwMR=1nDCvibi=1n[(Avib,f)jΣϵ(I+j=0i1(Avib,f)j)T]CvibTDT.
ΣεvibMR=Σεvib,
ΣwMR=Σw,
ΣεvibwMR=0.
([η1η2]k+1θ¯k+1θ¯kuk)=([eAvibT]000[Ξvib]000[0]100[0]000)AMR([η1η2]kθ¯kθ¯k1uk1)+([00]001)BMRuk+εkMR,
ykol=D([00]01N)CMRxk+wkMR.
x^k|k=x^k|k1+H(ykolCMRx^k|k1),
x^k+1|k=AMRx^k|k+BMRukMR,
uk+i/n=N[Ξvib,f(Avib,f)i]x^k|kη,
ykol=yk+DN1ni=0n1uk1+i/n
x^k|kη[[c]cη^1η^2]k|k.
ΣMR=AvibΣMRAvibT+Σε(ΣεwMR+AvibΣMRCvibT)(CvibΣMRCvibT+Σw)1(CvibΣMRAvibT+ΣεwMR),
xk(xkturxkvib,1xkvib,nϕ¯k1totaluk1),A(Atur000000Avib,10000000Avib,n00CturCvib,1Cvib,n00000000),
B(BturBvib,1Bvib,n01),Γ(Γtur000000Γvib,10000000Γvib,n000000000000),
CD(001N),
CMRD(0010),
xkvib([η1η2]kθ¯k),Avib([eAvibTs]0Ξv0),
Bvib0,ΓvibI,
Cvib([00]1),
xktur(xk+1turϕ¯k+1tur),Atur(eTsAtur0Ξtur0),
Btur0,ΓturI,
Ctur([00]1),
uk=Kϕ¯k+1|ktotal=N(x^k+1|kηvibration+ϕ¯^k+1|kturturbulence)
uk+i/n=K,ivibx^k+i/n|kη+Kturϕ¯^k+1|ktur=N([Ξvib,f(Avib)i]1)(x^k|kηϕ¯^k+1|ktur)

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