Abstract

Adaptive optics (AO) systems have to correct tip–tilt (TT) disturbances down to a fraction of the diffraction-limited spot. This becomes a key issue for very or extremely large telescopes affected by mechanical vibration peaks or wind shake effects. Linear quadratic Gaussian (LQG) control achieves optimal TT correction when provided with the temporal model of the disturbance. We propose a nonsupervised identification procedure that does not require any auxiliary system or loop opening and validate it on synthetic profile as well as on experimental data.

© 2010 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. T. Fusco, V. Michau, S. Meimon, Y. Clenet, M. Cohen, J. Paufique, E. Gendron, D. Gratadour, N. Hubin, J. Montri, C. Petit, C. Robert, and G. Rousset, “Atlas: The ltao module of the E-ELT,” presented at the Adaptive Optics for Extremely Large Telescopes (AO4ELT) 2009 Conference, June 22–26, 2009, Paris.
  2. J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.
  3. J.-P. Véran and L. Poyneer, “Evaluation of the T/T conditions at GEMINI south using NICI AO telemetry data,” in Proceedings of 1st AO4ELT Conference—Adaptative Optics for Extremely Large Telescopes (EDP Sciences, 2010), p. 05002.
    [CrossRef]
  4. R.-J. Noll, “Zernike polynomials and atmospheric turbulence,” J. Opt. Soc. Am. 66, 207–211 (1976).
    [CrossRef]
  5. B. Sedghi, “E-ELT main axis control analysis,” Tech. Rep. 3 (European Southern Observatory, 2007).
  6. Y. Clénet, 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]
  7. J. A. Stoesz, J.-P. Véran, F. J. Rigaut, G. Herriot, L. Jolissaint, D. Frenette, J. Dunn, and M. Smith, “Evaluation of the on-sky performance of ALTAIR,” Proc. SPIE 5490, 67–78 (2004).
    [CrossRef]
  8. B.Anderson and J.Moore, eds., Optimal Filtering (Dover, 2005).
  9. C. Petit, J.-M. Conan, C. Kulcsar, H.-F. Raynaud, T. Fusco, J. Montri, and D. Rabaud, “Optimal control for multi-conjugate adaptive optics,” C. R. Phys. 6, 1059–1069 (2005).
    [CrossRef]
  10. B. Le Roux, J.-M. Conan, C. Kulcsár, H.-F. Raynaud, L. M. Mugnier, and T. Fusco, “Optimal control law for classical and multiconjugate adaptive optics,” J. Opt. Soc. Am. A 21, 1261–1276 (2004).
    [CrossRef]
  11. C. Petit, J.-M. Conan, T. Fusco, E. Fedrigo, C. Kulcsár, and H.-F. Raynaud, “Optimization of the control laws for the SPHERE XAO system,” Proc. SPIE 7015, 70151D (2008).
    [CrossRef]
  12. B. Peeters and G. De Roeck, “Reference-based stochastic subspace identification for output-only modal analysis,” Mech. Syst. Signal Process. 13, 855–878 (1999).
    [CrossRef]
  13. L. Ljung, System Identification: Theory for the User, 2nd ed. (Prentice Hall, 1998).
  14. C. Petit, J.-M. Conan, C. Kulcsár, and H.-F. Raynaud, “Linear quadratic Gaussian control for adaptive optics and multiconjugate adaptive optics: experimental and numerical analysis,” J. Opt. Soc. Am. A 26, 1307–1325 (2009).
    [CrossRef]
  15. E. Gendron and P. Léna, “Astronomical adaptive optics I. modal control optimization,” Astron. Astrophys. 291, 337 (1994).
  16. C. Kulcsár, H.-F. Raynaud, C. Petit, J.-M. Conan, and P. Viaris de Lesegno, “Optimal control, observers and integrators in adaptive optics,” Opt. Express 14, 7464–7476 (2006).
    [CrossRef] [PubMed]
  17. C. Mohtadi, “Bode’s integral theorem for discrete-time systems,” IEE Proc.-D: Control Theory Appl. 137, 57–66 (1990).
    [CrossRef]
  18. C. Dessenne, “Commande modale et prédictive en optique adaptative,” Ph.D. thesis (Université de Paris VII, 1998).
  19. S. Meimon, T. Fusco, Y. Clenet, J.-M. Conan, and V. Michau, “The hunt for 100% sky coverage,” Proc. SPIE 7736, 77360Y (2010).
    [CrossRef]
  20. N. Perez-Arancibia, J. Gibson, and T.-C. Tsao, “Frequency-weighted minimum-variance adaptive control of laser beam jitter,” IEEE/ASME Trans. Mechatron. 14, 337–348 (2009).
    [CrossRef]
  21. 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]
  22. K. Hinnen, M. Verhaegen, and N. Doelman, “Exploiting the spatiotemporal correlation in adaptive optics using data-driven h2-optimal control,” J. Opt. Soc. Am. A 24, 1714–1725 (2007).
    [CrossRef]
  23. E. Walter and L. Pronzato, Identification of Parametric Models from Experimental Data (Springer-Verlag, 1997).
  24. T. Fusco, G. Rousset, J.-F. Sauvage, C. Petit, J.-L. Beuzit, K. Dohlen, D. Mouillet, J. Charton, M. Nicolle, M. Kasper, and P. Puget, “High order adaptive optics requirements for direct detection of extra-solar planets. application to the sphere instrument,” Opt. Express 14, 7515–7534 (2006).
    [CrossRef] [PubMed]
  25. Hogbom, “Aperture synthesis with a non-regular distribution of interferometer baselines,” Astron. Astrophys. Suppl. Ser. 15, 417–426 (1974).
  26. C. Correia, C. Kulcsár, J.-M. Conan, and H.-F. Raynaud, “On the optimal wave-front reconstruction and control in adaptive optics with mirror dynamics,” J. Opt. Soc. Am. A 27 (2010) (to be published).
    [CrossRef]
  27. D. P. Looze, “Linear-quadratic-gaussian control for adaptive optics systems using a hybrid model,” J. Opt. Soc. Am. A 26, 1–9 (2009).
    [CrossRef]
  28. Y. Hua and T. Sarkar, “Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise,” IEEE Trans. Acoust., Speech, Signal Process. 38, 814–824 (1990).
    [CrossRef]
  29. 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] [PubMed]

2010

J.-P. Véran and L. Poyneer, “Evaluation of the T/T conditions at GEMINI south using NICI AO telemetry data,” in Proceedings of 1st AO4ELT Conference—Adaptative Optics for Extremely Large Telescopes (EDP Sciences, 2010), p. 05002.
[CrossRef]

S. Meimon, T. Fusco, Y. Clenet, J.-M. Conan, and V. Michau, “The hunt for 100% sky coverage,” Proc. SPIE 7736, 77360Y (2010).
[CrossRef]

C. Correia, C. Kulcsár, J.-M. Conan, and H.-F. Raynaud, “On the optimal wave-front reconstruction and control in adaptive optics with mirror dynamics,” J. Opt. Soc. Am. A 27 (2010) (to be published).
[CrossRef]

2009

D. P. Looze, “Linear-quadratic-gaussian control for adaptive optics systems using a hybrid model,” J. Opt. Soc. Am. A 26, 1–9 (2009).
[CrossRef]

N. Perez-Arancibia, J. Gibson, and T.-C. Tsao, “Frequency-weighted minimum-variance adaptive control of laser beam jitter,” IEEE/ASME Trans. Mechatron. 14, 337–348 (2009).
[CrossRef]

C. Petit, J.-M. Conan, C. Kulcsár, and H.-F. Raynaud, “Linear quadratic Gaussian control for adaptive optics and multiconjugate adaptive optics: experimental and numerical analysis,” J. Opt. Soc. Am. A 26, 1307–1325 (2009).
[CrossRef]

T. Fusco, V. Michau, S. Meimon, Y. Clenet, M. Cohen, J. Paufique, E. Gendron, D. Gratadour, N. Hubin, J. Montri, C. Petit, C. Robert, and G. Rousset, “Atlas: The ltao module of the E-ELT,” presented at the Adaptive Optics for Extremely Large Telescopes (AO4ELT) 2009 Conference, June 22–26, 2009, Paris.

2008

C. Petit, J.-M. Conan, T. Fusco, E. Fedrigo, C. Kulcsár, and H.-F. Raynaud, “Optimization of the control laws for the SPHERE XAO system,” Proc. SPIE 7015, 70151D (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] [PubMed]

2007

2006

2005

B.Anderson and J.Moore, eds., Optimal Filtering (Dover, 2005).

C. Petit, J.-M. Conan, C. Kulcsar, H.-F. Raynaud, T. Fusco, J. Montri, and D. Rabaud, “Optimal control for multi-conjugate adaptive optics,” C. R. Phys. 6, 1059–1069 (2005).
[CrossRef]

J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.

2004

B. Le Roux, J.-M. Conan, C. Kulcsár, H.-F. Raynaud, L. M. Mugnier, and T. Fusco, “Optimal control law for classical and multiconjugate adaptive optics,” J. Opt. Soc. Am. A 21, 1261–1276 (2004).
[CrossRef]

Y. Clénet, 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]

J. A. Stoesz, J.-P. Véran, F. J. Rigaut, G. Herriot, L. Jolissaint, D. Frenette, J. Dunn, and M. Smith, “Evaluation of the on-sky performance of ALTAIR,” Proc. SPIE 5490, 67–78 (2004).
[CrossRef]

1999

B. Peeters and G. De Roeck, “Reference-based stochastic subspace identification for output-only modal analysis,” Mech. Syst. Signal Process. 13, 855–878 (1999).
[CrossRef]

1998

L. Ljung, System Identification: Theory for the User, 2nd ed. (Prentice Hall, 1998).

C. Dessenne, “Commande modale et prédictive en optique adaptative,” Ph.D. thesis (Université de Paris VII, 1998).

1997

E. Walter and L. Pronzato, Identification of Parametric Models from Experimental Data (Springer-Verlag, 1997).

1994

E. Gendron and P. Léna, “Astronomical adaptive optics I. modal control optimization,” Astron. Astrophys. 291, 337 (1994).

1990

Y. Hua and T. Sarkar, “Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise,” IEEE Trans. Acoust., Speech, Signal Process. 38, 814–824 (1990).
[CrossRef]

C. Mohtadi, “Bode’s integral theorem for discrete-time systems,” IEE Proc.-D: Control Theory Appl. 137, 57–66 (1990).
[CrossRef]

1976

1974

Hogbom, “Aperture synthesis with a non-regular distribution of interferometer baselines,” Astron. Astrophys. Suppl. Ser. 15, 417–426 (1974).

Ageorges, N.

Y. Clénet, 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]

Arnold, L.

J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.

Augereau, J.-C.

J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.

Baudoz, P.

J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.

Beuzit, J.-L.

T. Fusco, G. Rousset, J.-F. Sauvage, C. Petit, J.-L. Beuzit, K. Dohlen, D. Mouillet, J. Charton, M. Nicolle, M. Kasper, and P. Puget, “High order adaptive optics requirements for direct detection of extra-solar planets. application to the sphere instrument,” Opt. Express 14, 7515–7534 (2006).
[CrossRef] [PubMed]

J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.

Boccaletti, A.

J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.

Charton, J.

Clenet, Y.

S. Meimon, T. Fusco, Y. Clenet, J.-M. Conan, and V. Michau, “The hunt for 100% sky coverage,” Proc. SPIE 7736, 77360Y (2010).
[CrossRef]

T. Fusco, V. Michau, S. Meimon, Y. Clenet, M. Cohen, J. Paufique, E. Gendron, D. Gratadour, N. Hubin, J. Montri, C. Petit, C. Robert, and G. Rousset, “Atlas: The ltao module of the E-ELT,” presented at the Adaptive Optics for Extremely Large Telescopes (AO4ELT) 2009 Conference, June 22–26, 2009, Paris.

Clénet, Y.

Y. Clénet, 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]

Cohen, M.

T. Fusco, V. Michau, S. Meimon, Y. Clenet, M. Cohen, J. Paufique, E. Gendron, D. Gratadour, N. Hubin, J. Montri, C. Petit, C. Robert, and G. Rousset, “Atlas: The ltao module of the E-ELT,” presented at the Adaptive Optics for Extremely Large Telescopes (AO4ELT) 2009 Conference, June 22–26, 2009, Paris.

Conan, J.-M.

S. Meimon, T. Fusco, Y. Clenet, J.-M. Conan, and V. Michau, “The hunt for 100% sky coverage,” Proc. SPIE 7736, 77360Y (2010).
[CrossRef]

C. Correia, C. Kulcsár, J.-M. Conan, and H.-F. Raynaud, “On the optimal wave-front reconstruction and control in adaptive optics with mirror dynamics,” J. Opt. Soc. Am. A 27 (2010) (to be published).
[CrossRef]

C. Petit, J.-M. Conan, C. Kulcsár, and H.-F. Raynaud, “Linear quadratic Gaussian control for adaptive optics and multiconjugate adaptive optics: experimental and numerical analysis,” J. Opt. Soc. Am. A 26, 1307–1325 (2009).
[CrossRef]

C. Petit, J.-M. Conan, T. Fusco, E. Fedrigo, C. Kulcsár, and H.-F. Raynaud, “Optimization of the control laws for the SPHERE XAO system,” Proc. SPIE 7015, 70151D (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] [PubMed]

C. Kulcsár, H.-F. Raynaud, C. Petit, J.-M. Conan, and P. Viaris de Lesegno, “Optimal control, observers and integrators in adaptive optics,” Opt. Express 14, 7464–7476 (2006).
[CrossRef] [PubMed]

C. Petit, J.-M. Conan, C. Kulcsar, H.-F. Raynaud, T. Fusco, J. Montri, and D. Rabaud, “Optimal control for multi-conjugate adaptive optics,” C. R. Phys. 6, 1059–1069 (2005).
[CrossRef]

B. Le Roux, J.-M. Conan, C. Kulcsár, H.-F. Raynaud, L. M. Mugnier, and T. Fusco, “Optimal control law for classical and multiconjugate adaptive optics,” J. Opt. Soc. Am. A 21, 1261–1276 (2004).
[CrossRef]

Correia, C.

C. Correia, C. Kulcsár, J.-M. Conan, and H.-F. Raynaud, “On the optimal wave-front reconstruction and control in adaptive optics with mirror dynamics,” J. Opt. Soc. Am. A 27 (2010) (to be published).
[CrossRef]

De Roeck, G.

B. Peeters and G. De Roeck, “Reference-based stochastic subspace identification for output-only modal analysis,” Mech. Syst. Signal Process. 13, 855–878 (1999).
[CrossRef]

Dessenne, C.

C. Dessenne, “Commande modale et prédictive en optique adaptative,” Ph.D. thesis (Université de Paris VII, 1998).

Doelman, N.

Dohlen, K.

T. Fusco, G. Rousset, J.-F. Sauvage, C. Petit, J.-L. Beuzit, K. Dohlen, D. Mouillet, J. Charton, M. Nicolle, M. Kasper, and P. Puget, “High order adaptive optics requirements for direct detection of extra-solar planets. application to the sphere instrument,” Opt. Express 14, 7515–7534 (2006).
[CrossRef] [PubMed]

J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.

Dunn, J.

J. A. Stoesz, J.-P. Véran, F. J. Rigaut, G. Herriot, L. Jolissaint, D. Frenette, J. Dunn, and M. Smith, “Evaluation of the on-sky performance of ALTAIR,” Proc. SPIE 5490, 67–78 (2004).
[CrossRef]

Fedrigo, E.

C. Petit, J.-M. Conan, T. Fusco, E. Fedrigo, C. Kulcsár, and H.-F. Raynaud, “Optimization of the control laws for the SPHERE XAO system,” Proc. SPIE 7015, 70151D (2008).
[CrossRef]

Feldt, M.

J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.

Frenette, D.

J. A. Stoesz, J.-P. Véran, F. J. Rigaut, G. Herriot, L. Jolissaint, D. Frenette, J. Dunn, and M. Smith, “Evaluation of the on-sky performance of ALTAIR,” Proc. SPIE 5490, 67–78 (2004).
[CrossRef]

Fusco, T.

S. Meimon, T. Fusco, Y. Clenet, J.-M. Conan, and V. Michau, “The hunt for 100% sky coverage,” Proc. SPIE 7736, 77360Y (2010).
[CrossRef]

T. Fusco, V. Michau, S. Meimon, Y. Clenet, M. Cohen, J. Paufique, E. Gendron, D. Gratadour, N. Hubin, J. Montri, C. Petit, C. Robert, and G. Rousset, “Atlas: The ltao module of the E-ELT,” presented at the Adaptive Optics for Extremely Large Telescopes (AO4ELT) 2009 Conference, June 22–26, 2009, Paris.

C. Petit, J.-M. Conan, T. Fusco, E. Fedrigo, C. Kulcsár, and H.-F. Raynaud, “Optimization of the control laws for the SPHERE XAO system,” Proc. SPIE 7015, 70151D (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] [PubMed]

T. Fusco, G. Rousset, J.-F. Sauvage, C. Petit, J.-L. Beuzit, K. Dohlen, D. Mouillet, J. Charton, M. Nicolle, M. Kasper, and P. Puget, “High order adaptive optics requirements for direct detection of extra-solar planets. application to the sphere instrument,” Opt. Express 14, 7515–7534 (2006).
[CrossRef] [PubMed]

J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.

C. Petit, J.-M. Conan, C. Kulcsar, H.-F. Raynaud, T. Fusco, J. Montri, and D. Rabaud, “Optimal control for multi-conjugate adaptive optics,” C. R. Phys. 6, 1059–1069 (2005).
[CrossRef]

Y. Clénet, 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]

B. Le Roux, J.-M. Conan, C. Kulcsár, H.-F. Raynaud, L. M. Mugnier, and T. Fusco, “Optimal control law for classical and multiconjugate adaptive optics,” J. Opt. Soc. Am. A 21, 1261–1276 (2004).
[CrossRef]

Gendron, E.

T. Fusco, V. Michau, S. Meimon, Y. Clenet, M. Cohen, J. Paufique, E. Gendron, D. Gratadour, N. Hubin, J. Montri, C. Petit, C. Robert, and G. Rousset, “Atlas: The ltao module of the E-ELT,” presented at the Adaptive Optics for Extremely Large Telescopes (AO4ELT) 2009 Conference, June 22–26, 2009, Paris.

E. Gendron and P. Léna, “Astronomical adaptive optics I. modal control optimization,” Astron. Astrophys. 291, 337 (1994).

Gibson, J.

N. Perez-Arancibia, J. Gibson, and T.-C. Tsao, “Frequency-weighted minimum-variance adaptive control of laser beam jitter,” IEEE/ASME Trans. Mechatron. 14, 337–348 (2009).
[CrossRef]

Gratadour, D.

T. Fusco, V. Michau, S. Meimon, Y. Clenet, M. Cohen, J. Paufique, E. Gendron, D. Gratadour, N. Hubin, J. Montri, C. Petit, C. Robert, and G. Rousset, “Atlas: The ltao module of the E-ELT,” presented at the Adaptive Optics for Extremely Large Telescopes (AO4ELT) 2009 Conference, June 22–26, 2009, Paris.

Gratton, R.

J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.

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]

Hartung, M.

Y. Clénet, 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]

Henning, T.

J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.

Herriot, G.

J. A. Stoesz, J.-P. Véran, F. J. Rigaut, G. Herriot, L. Jolissaint, D. Frenette, J. Dunn, and M. Smith, “Evaluation of the on-sky performance of ALTAIR,” Proc. SPIE 5490, 67–78 (2004).
[CrossRef]

Hinnen, K.

Hogbom,

Hogbom, “Aperture synthesis with a non-regular distribution of interferometer baselines,” Astron. Astrophys. Suppl. Ser. 15, 417–426 (1974).

Hua, Y.

Y. Hua and T. Sarkar, “Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise,” IEEE Trans. Acoust., Speech, Signal Process. 38, 814–824 (1990).
[CrossRef]

Hubin, N.

T. Fusco, V. Michau, S. Meimon, Y. Clenet, M. Cohen, J. Paufique, E. Gendron, D. Gratadour, N. Hubin, J. Montri, C. Petit, C. Robert, and G. Rousset, “Atlas: The ltao module of the E-ELT,” presented at the Adaptive Optics for Extremely Large Telescopes (AO4ELT) 2009 Conference, June 22–26, 2009, Paris.

J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.

Hubin, N. N.

Y. Clénet, 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]

Jolissaint, L.

J. A. Stoesz, J.-P. Véran, F. J. Rigaut, G. Herriot, L. Jolissaint, D. Frenette, J. Dunn, and M. Smith, “Evaluation of the on-sky performance of ALTAIR,” Proc. SPIE 5490, 67–78 (2004).
[CrossRef]

Kasper, M.

T. Fusco, G. Rousset, J.-F. Sauvage, C. Petit, J.-L. Beuzit, K. Dohlen, D. Mouillet, J. Charton, M. Nicolle, M. Kasper, and P. Puget, “High order adaptive optics requirements for direct detection of extra-solar planets. application to the sphere instrument,” Opt. Express 14, 7515–7534 (2006).
[CrossRef] [PubMed]

J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.

Kasper, M. E.

Y. Clénet, 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]

Koehler, B.

Y. Clénet, 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]

Kulcsar, C.

C. Petit, J.-M. Conan, C. Kulcsar, H.-F. Raynaud, T. Fusco, J. Montri, and D. Rabaud, “Optimal control for multi-conjugate adaptive optics,” C. R. Phys. 6, 1059–1069 (2005).
[CrossRef]

Kulcsár, C.

Lagrange, A.-M.

J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.

Langlois, M.

J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.

Le Roux, B.

Léna, P.

E. Gendron and P. Léna, “Astronomical adaptive optics I. modal control optimization,” Astron. Astrophys. 291, 337 (1994).

Lidman, C.

Y. Clénet, 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]

Ljung, L.

L. Ljung, System Identification: Theory for the User, 2nd ed. (Prentice Hall, 1998).

Looze, D. P.

Marco, O.

Y. Clénet, 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]

Meimon, S.

S. Meimon, T. Fusco, Y. Clenet, J.-M. Conan, and V. Michau, “The hunt for 100% sky coverage,” Proc. SPIE 7736, 77360Y (2010).
[CrossRef]

T. Fusco, V. Michau, S. Meimon, Y. Clenet, M. Cohen, J. Paufique, E. Gendron, D. Gratadour, N. Hubin, J. Montri, C. Petit, C. Robert, and G. Rousset, “Atlas: The ltao module of the E-ELT,” presented at the Adaptive Optics for Extremely Large Telescopes (AO4ELT) 2009 Conference, June 22–26, 2009, Paris.

Ménard, F.

J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.

Michau, V.

S. Meimon, T. Fusco, Y. Clenet, J.-M. Conan, and V. Michau, “The hunt for 100% sky coverage,” Proc. SPIE 7736, 77360Y (2010).
[CrossRef]

T. Fusco, V. Michau, S. Meimon, Y. Clenet, M. Cohen, J. Paufique, E. Gendron, D. Gratadour, N. Hubin, J. Montri, C. Petit, C. Robert, and G. Rousset, “Atlas: The ltao module of the E-ELT,” presented at the Adaptive Optics for Extremely Large Telescopes (AO4ELT) 2009 Conference, June 22–26, 2009, Paris.

Mohtadi, C.

C. Mohtadi, “Bode’s integral theorem for discrete-time systems,” IEE Proc.-D: Control Theory Appl. 137, 57–66 (1990).
[CrossRef]

Montri, J.

T. Fusco, V. Michau, S. Meimon, Y. Clenet, M. Cohen, J. Paufique, E. Gendron, D. Gratadour, N. Hubin, J. Montri, C. Petit, C. Robert, and G. Rousset, “Atlas: The ltao module of the E-ELT,” presented at the Adaptive Optics for Extremely Large Telescopes (AO4ELT) 2009 Conference, June 22–26, 2009, Paris.

C. Petit, J.-M. Conan, C. Kulcsar, H.-F. Raynaud, T. Fusco, J. Montri, and D. Rabaud, “Optimal control for multi-conjugate adaptive optics,” C. R. Phys. 6, 1059–1069 (2005).
[CrossRef]

Mouillet, D.

T. Fusco, G. Rousset, J.-F. Sauvage, C. Petit, J.-L. Beuzit, K. Dohlen, D. Mouillet, J. Charton, M. Nicolle, M. Kasper, and P. Puget, “High order adaptive optics requirements for direct detection of extra-solar planets. application to the sphere instrument,” Opt. Express 14, 7515–7534 (2006).
[CrossRef] [PubMed]

J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.

Y. Clénet, 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]

Moutou, C.

J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.

Mugnier, L. M.

Nicolle, M.

Noll, R.-J.

Paufique, J.

T. Fusco, V. Michau, S. Meimon, Y. Clenet, M. Cohen, J. Paufique, E. Gendron, D. Gratadour, N. Hubin, J. Montri, C. Petit, C. Robert, and G. Rousset, “Atlas: The ltao module of the E-ELT,” presented at the Adaptive Optics for Extremely Large Telescopes (AO4ELT) 2009 Conference, June 22–26, 2009, Paris.

Peeters, B.

B. Peeters and G. De Roeck, “Reference-based stochastic subspace identification for output-only modal analysis,” Mech. Syst. Signal Process. 13, 855–878 (1999).
[CrossRef]

Perez-Arancibia, N.

N. Perez-Arancibia, J. Gibson, and T.-C. Tsao, “Frequency-weighted minimum-variance adaptive control of laser beam jitter,” IEEE/ASME Trans. Mechatron. 14, 337–348 (2009).
[CrossRef]

Petit, C.

C. Petit, J.-M. Conan, C. Kulcsár, and H.-F. Raynaud, “Linear quadratic Gaussian control for adaptive optics and multiconjugate adaptive optics: experimental and numerical analysis,” J. Opt. Soc. Am. A 26, 1307–1325 (2009).
[CrossRef]

T. Fusco, V. Michau, S. Meimon, Y. Clenet, M. Cohen, J. Paufique, E. Gendron, D. Gratadour, N. Hubin, J. Montri, C. Petit, C. Robert, and G. Rousset, “Atlas: The ltao module of the E-ELT,” presented at the Adaptive Optics for Extremely Large Telescopes (AO4ELT) 2009 Conference, June 22–26, 2009, Paris.

C. Petit, J.-M. Conan, T. Fusco, E. Fedrigo, C. Kulcsár, and H.-F. Raynaud, “Optimization of the control laws for the SPHERE XAO system,” Proc. SPIE 7015, 70151D (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] [PubMed]

T. Fusco, G. Rousset, J.-F. Sauvage, C. Petit, J.-L. Beuzit, K. Dohlen, D. Mouillet, J. Charton, M. Nicolle, M. Kasper, and P. Puget, “High order adaptive optics requirements for direct detection of extra-solar planets. application to the sphere instrument,” Opt. Express 14, 7515–7534 (2006).
[CrossRef] [PubMed]

C. Kulcsár, H.-F. Raynaud, C. Petit, J.-M. Conan, and P. Viaris de Lesegno, “Optimal control, observers and integrators in adaptive optics,” Opt. Express 14, 7464–7476 (2006).
[CrossRef] [PubMed]

C. Petit, J.-M. Conan, C. Kulcsar, H.-F. Raynaud, T. Fusco, J. Montri, and D. Rabaud, “Optimal control for multi-conjugate adaptive optics,” C. R. Phys. 6, 1059–1069 (2005).
[CrossRef]

Poyneer, L.

J.-P. Véran and L. Poyneer, “Evaluation of the T/T conditions at GEMINI south using NICI AO telemetry data,” in Proceedings of 1st AO4ELT Conference—Adaptative Optics for Extremely Large Telescopes (EDP Sciences, 2010), p. 05002.
[CrossRef]

Pronzato, L.

E. Walter and L. Pronzato, Identification of Parametric Models from Experimental Data (Springer-Verlag, 1997).

Puget, P.

T. Fusco, G. Rousset, J.-F. Sauvage, C. Petit, J.-L. Beuzit, K. Dohlen, D. Mouillet, J. Charton, M. Nicolle, M. Kasper, and P. Puget, “High order adaptive optics requirements for direct detection of extra-solar planets. application to the sphere instrument,” Opt. Express 14, 7515–7534 (2006).
[CrossRef] [PubMed]

J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.

Rabaud, D.

C. Petit, J.-M. Conan, C. Kulcsar, H.-F. Raynaud, T. Fusco, J. Montri, and D. Rabaud, “Optimal control for multi-conjugate adaptive optics,” C. R. Phys. 6, 1059–1069 (2005).
[CrossRef]

Rabou, P.

J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.

Raynaud, H.-F.

Rigaut, F. J.

J. A. Stoesz, J.-P. Véran, F. J. Rigaut, G. Herriot, L. Jolissaint, D. Frenette, J. Dunn, and M. Smith, “Evaluation of the on-sky performance of ALTAIR,” Proc. SPIE 5490, 67–78 (2004).
[CrossRef]

Robert, C.

T. Fusco, V. Michau, S. Meimon, Y. Clenet, M. Cohen, J. Paufique, E. Gendron, D. Gratadour, N. Hubin, J. Montri, C. Petit, C. Robert, and G. Rousset, “Atlas: The ltao module of the E-ELT,” presented at the Adaptive Optics for Extremely Large Telescopes (AO4ELT) 2009 Conference, June 22–26, 2009, Paris.

Rouan, D.

J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.

Rousset, G.

T. Fusco, V. Michau, S. Meimon, Y. Clenet, M. Cohen, J. Paufique, E. Gendron, D. Gratadour, N. Hubin, J. Montri, C. Petit, C. Robert, and G. Rousset, “Atlas: The ltao module of the E-ELT,” presented at the Adaptive Optics for Extremely Large Telescopes (AO4ELT) 2009 Conference, June 22–26, 2009, Paris.

T. Fusco, G. Rousset, J.-F. Sauvage, C. Petit, J.-L. Beuzit, K. Dohlen, D. Mouillet, J. Charton, M. Nicolle, M. Kasper, and P. Puget, “High order adaptive optics requirements for direct detection of extra-solar planets. application to the sphere instrument,” Opt. Express 14, 7515–7534 (2006).
[CrossRef] [PubMed]

Y. Clénet, 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]

Sarkar, T.

Y. Hua and T. Sarkar, “Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise,” IEEE Trans. Acoust., Speech, Signal Process. 38, 814–824 (1990).
[CrossRef]

Sauvage, J.-F.

Schmid, H.-M.

J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.

Sedghi, B.

B. Sedghi, “E-ELT main axis control analysis,” Tech. Rep. 3 (European Southern Observatory, 2007).

Ségransan, D.

J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.

Smith, M.

J. A. Stoesz, J.-P. Véran, F. J. Rigaut, G. Herriot, L. Jolissaint, D. Frenette, J. Dunn, and M. Smith, “Evaluation of the on-sky performance of ALTAIR,” Proc. SPIE 5490, 67–78 (2004).
[CrossRef]

Stam, D.

J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.

Stoesz, J. A.

J. A. Stoesz, J.-P. Véran, F. J. Rigaut, G. Herriot, L. Jolissaint, D. Frenette, J. Dunn, and M. Smith, “Evaluation of the on-sky performance of ALTAIR,” Proc. SPIE 5490, 67–78 (2004).
[CrossRef]

Tsao, T.-C.

N. Perez-Arancibia, J. Gibson, and T.-C. Tsao, “Frequency-weighted minimum-variance adaptive control of laser beam jitter,” IEEE/ASME Trans. Mechatron. 14, 337–348 (2009).
[CrossRef]

Turatto, M.

J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.

Udry, S.

J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.

Vakili, F.

J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.

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]

Véran, J.-P.

J.-P. Véran and L. Poyneer, “Evaluation of the T/T conditions at GEMINI south using NICI AO telemetry data,” in Proceedings of 1st AO4ELT Conference—Adaptative Optics for Extremely Large Telescopes (EDP Sciences, 2010), p. 05002.
[CrossRef]

J. A. Stoesz, J.-P. Véran, F. J. Rigaut, G. Herriot, L. Jolissaint, D. Frenette, J. Dunn, and M. Smith, “Evaluation of the on-sky performance of ALTAIR,” Proc. SPIE 5490, 67–78 (2004).
[CrossRef]

Verhaegen, M.

Viaris de Lesegno, P.

Walter, E.

E. Walter and L. Pronzato, Identification of Parametric Models from Experimental Data (Springer-Verlag, 1997).

Waters, R.

J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.

Astron. Astrophys.

E. Gendron and P. Léna, “Astronomical adaptive optics I. modal control optimization,” Astron. Astrophys. 291, 337 (1994).

Astron. Astrophys. Suppl. Ser.

Hogbom, “Aperture synthesis with a non-regular distribution of interferometer baselines,” Astron. Astrophys. Suppl. Ser. 15, 417–426 (1974).

C. R. Phys.

C. Petit, J.-M. Conan, C. Kulcsar, H.-F. Raynaud, T. Fusco, J. Montri, and D. Rabaud, “Optimal control for multi-conjugate adaptive optics,” C. R. Phys. 6, 1059–1069 (2005).
[CrossRef]

IEE Proc.-D: Control Theory Appl.

C. Mohtadi, “Bode’s integral theorem for discrete-time systems,” IEE Proc.-D: Control Theory Appl. 137, 57–66 (1990).
[CrossRef]

IEEE Trans. Acoust., Speech, Signal Process.

Y. Hua and T. Sarkar, “Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise,” IEEE Trans. Acoust., Speech, Signal Process. 38, 814–824 (1990).
[CrossRef]

IEEE/ASME Trans. Mechatron.

N. Perez-Arancibia, J. Gibson, and T.-C. Tsao, “Frequency-weighted minimum-variance adaptive control of laser beam jitter,” IEEE/ASME Trans. Mechatron. 14, 337–348 (2009).
[CrossRef]

J. Opt. Soc. Am.

J. Opt. Soc. Am. A

Mech. Syst. Signal Process.

B. Peeters and G. De Roeck, “Reference-based stochastic subspace identification for output-only modal analysis,” Mech. Syst. Signal Process. 13, 855–878 (1999).
[CrossRef]

Opt. Express

Proc. SPIE

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]

S. Meimon, T. Fusco, Y. Clenet, J.-M. Conan, and V. Michau, “The hunt for 100% sky coverage,” Proc. SPIE 7736, 77360Y (2010).
[CrossRef]

C. Petit, J.-M. Conan, T. Fusco, E. Fedrigo, C. Kulcsár, and H.-F. Raynaud, “Optimization of the control laws for the SPHERE XAO system,” Proc. SPIE 7015, 70151D (2008).
[CrossRef]

Y. Clénet, 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]

J. A. Stoesz, J.-P. Véran, F. J. Rigaut, G. Herriot, L. Jolissaint, D. Frenette, J. Dunn, and M. Smith, “Evaluation of the on-sky performance of ALTAIR,” Proc. SPIE 5490, 67–78 (2004).
[CrossRef]

Other

B.Anderson and J.Moore, eds., Optimal Filtering (Dover, 2005).

B. Sedghi, “E-ELT main axis control analysis,” Tech. Rep. 3 (European Southern Observatory, 2007).

T. Fusco, V. Michau, S. Meimon, Y. Clenet, M. Cohen, J. Paufique, E. Gendron, D. Gratadour, N. Hubin, J. Montri, C. Petit, C. Robert, and G. Rousset, “Atlas: The ltao module of the E-ELT,” presented at the Adaptive Optics for Extremely Large Telescopes (AO4ELT) 2009 Conference, June 22–26, 2009, Paris.

J.-L. Beuzit, M. Feldt, D. Mouillet, C. Moutou, K. Dohlen, P. Puget, T. Fusco, P. Baudoz, A. Boccaletti, S. Udry, D. Ségransan, R. Gratton, M. Turatto, H.-M. Schmid, R. Waters, D. Stam, P. Rabou, A.-M. Lagrange, F. Ménard, J.-C. Augereau, M. Langlois, F. Vakili, L. Arnold, T. Henning, D. Rouan, M. Kasper, and N. Hubin, A Planet Finder Instrument for the VLT, Proceedings of the International Astronomical Union (International Astronomical Union, 2005), Vol. 1, pp. 317–322.

J.-P. Véran and L. Poyneer, “Evaluation of the T/T conditions at GEMINI south using NICI AO telemetry data,” in Proceedings of 1st AO4ELT Conference—Adaptative Optics for Extremely Large Telescopes (EDP Sciences, 2010), p. 05002.
[CrossRef]

C. Dessenne, “Commande modale et prédictive en optique adaptative,” Ph.D. thesis (Université de Paris VII, 1998).

L. Ljung, System Identification: Theory for the User, 2nd ed. (Prentice Hall, 1998).

E. Walter and L. Pronzato, Identification of Parametric Models from Experimental Data (Springer-Verlag, 1997).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (7)

Fig. 1
Fig. 1

Closed-loop block diagram.

Fig. 2
Fig. 2

Sensitivity functions for an integrator law and for an LQG control law, and residual phase PSDs for both control laws.

Fig. 3
Fig. 3

Source separation by segmenting the frequency range.

Fig. 4
Fig. 4

Total estimated PSD S ̂ at each step.

Fig. 5
Fig. 5

Turbulence and vibration profiles used in the simulations.

Fig. 6
Fig. 6

Estimated PSD on NAOS experimental tilt slopes.

Fig. 7
Fig. 7

PSD trends of an AR2 obtained for various values of k.

Tables (7)

Tables Icon

Table 1 Comparison of Wind-Shake-Mitigation Performance for LQG and Integrator Control Laws for ATLAS [19] on a Magnitude m H = 19 star a

Tables Icon

Table 2 Three-Layer Turbulence Profile T1 a

Tables Icon

Table 3 Three-Peak Vibration Profile V1

Tables Icon

Table 4 Ten-Peak Vibration Profile V2

Tables Icon

Table 5 Vibration Identification and Filtering Performance a

Tables Icon

Table 6 Vibration Identification and Filtering Performance as a Function of the Time Sequence Length

Tables Icon

Table 7 Estimated Residual Phase Variance Based on an Experimental NAOS Periodogram, with and Without Vibrations for an OMGI and an LQG

Equations (35)

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

y n = D ( φ n 1 N u n 2 ) + w n ,
φ n = φ n tur + φ n vib , 1 + φ n vib , 2 + .
φ n + 1 vib , i = a 1 vib , i φ n vib , i + a 2 vib , i φ n 1 vib , i + v n vib , i ,
φ n + 1 tur = a 1 tur φ n tur + a 2 tur φ n 1 tur + v n tur .
SF = 1 1 + D N z 2 G ,
NTF = N z 2 G 1 + D N z 2 G .
Var { φ res } = f | SF ( f ) | 2 S φ ( f ) + | NTF ( f ) | 2 S w ( f ) d f ,
x n + 1 = A x n + v n ,
y n = C x n D u n 2 + w n ,
x ̂ n n = x ̂ n n 1 + L ( y n C x ̂ n n 1 + D N u n 2 ) ,
x ̂ n + 1 n = A x ̂ n n ,
u n = K x ̂ n + 1 n ,
G ( z ) = K [ I d ( I d L C ) A z 1 + L D N K z 2 ] 1 L .
f f s 2 ln | SF ( f ) | d f = β ,
Var { φ res } f f s 2 | SF | 2 S d f .
L ( | SF | , λ ) = f f s 2 | SF | 2 S d f + λ [ β f f s 2 ln | SF ( f ) | d f ] .
| SF | 2 1 S .
φ = φ tur + φ vib , 1 + φ vib , 2 + ,
φ n + 1 tur = a 1 tur φ n tur + a 2 tur φ n 1 tur + v n tur ,
φ n + 1 vib , i = a 1 vib , i φ n vib , i + a 2 vib , i φ n 1 vib , i + v n vib , i .
γ n = φ n 1 + w n = φ n 1 tur + φ n 1 vib , 1 + φ n 1 vib , 2 + + w n .
S γ = S tur + S vib , 1 + S vib , 2 + + S w .
P γ = S γ + η = S tur + S vib , 1 + S vib , 2 + + S w + η .
σ η ( f ) = S γ ( f ) .
P γ S w + η for f > f w .
P ¯ S ̂ w + S tur + η for f [ f 1 , f 2 ] , f f w .
f 1 f s 60 , f 2 = f w f s 3 ,
S ̂ S ̂ w + S ̂ tur + j = 0 i S ̂ vib , j .
P S ̂ + S vib , i + 1 + η , σ η S ̂ .
p = 100 σ b 2 σ 2 σ b 2 σ a 2 .
x n = q = 1 p a q x n q + v n .
H ( z ) = T z ( x ) T z ( v ) = 1 1 k = 1 p a k z k .
S x ( f ) = σ 2 | 1 q = 1 p a q e 2 i π q f | 2 .
a 1 = 2 e 2 k vib π f vib T cos ( 2 π f vib T 1 k vib 2 ) ,
a 2 = e 4 k vib π f vib T .

Metrics