Abstract

We present a first experimental validation of vibration filtering with a Linear Quadratic Gaussian (LQG) control law in Adaptive Optics (AO). A quasi-pure mechanical vibration is generated on a classic AO bench and filtered by the control law, leading to an improvement of the Strehl Ratio and image stability. Vibration filtering may be applied to any AO system, but these results are of particular interest for eXtrem AO, and for instance for the SPHERE AO design, where high performance is required.

© 2008 Optical Society of America

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  1. G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, “NAOS, the first AO system of the VLT: on sky performance,” in Adaptive Optical System Technology II, Bellingham, Proc. SPIE4839, 140–149, (2002).
    [Crossref]
  2. Y. Clénet, M.E. Kasper, N. Ageorges, C. Lidman, T. Fusco, O. Marco, M. Hartung, D. Mouillet, B. Koehler, G. Rousset, and N. Hubin, “NACO performance: status after 2 years of operation,” in Advancements in Adaptive Optics, D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni eds., Proc. SPIE5490, 107–117, (2004).
    [Crossref]
  3. J. A. Stoesz, J.-P. Véran, F. Rigaut, G. Herriot, L. Jolissaint, and D. Frenette, “Evaluation of the on-sky performance of Altair,” in Advancements in Adaptive Optics, D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni eds., Proc. SPIE5490, 67–78, (2004).
    [Crossref]
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    [Crossref]
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    [Crossref]
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    [Crossref]
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    [Crossref] [PubMed]
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    [Crossref]
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2007 (1)

2006 (3)

2005 (1)

C. Petit, J.-M. Conan, C. Kulcsár, H.-F. Raynaud, T. Fusco, J. Montri, and D. Rabaud,“Optimal Control for Multi-conjugate Adaptive Optics,” Comptes Rendus de l’Académie des Science Physique 6, 1059–1069, (2005) (http://www.sciencedirect.com/science/journal/16310705).

2004 (1)

1998 (1)

1993 (1)

1990 (1)

C. Mohtadi, “Bode’s integral theorem for discrete-time systems,” Proceedings of the IEE 137, 57–66, (1990).

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. Hubin, “NACO performance: status after 2 years of operation,” in Advancements in Adaptive Optics, D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni eds., Proc. SPIE5490, 107–117, (2004).
[Crossref]

Anderson, D.

Arsenault, R.

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, “NAOS, the first AO system of the VLT: on sky performance,” in Adaptive Optical System Technology II, Bellingham, Proc. SPIE4839, 140–149, (2002).
[Crossref]

Baudoz, P.

Beuzit, J. -L.

Beuzit, J.-L.

T. Fusco, C. Petit, G. Rousset, J.-F. Sauvage, J.-M. Conan, A. Blanc, and J.-L. Beuzit, “Optimization of the pre-compensation of non-common path aberrations for adaptive optics systems,” in Adaptive Optics: Analysis and Methods/Computational Optical Sensing and Imaging/Information Photonics/Signal Recovery and Synthesis Topical Meetings on CD ROM, OSA electronic proceedings Technical Digest AWB 2, Optical Society of America, Charlotte, (2005).

Blanc, A.

T. Fusco, C. Petit, G. Rousset, J.-F. Sauvage, J.-M. Conan, A. Blanc, and J.-L. Beuzit, “Optimization of the pre-compensation of non-common path aberrations for adaptive optics systems,” in Adaptive Optics: Analysis and Methods/Computational Optical Sensing and Imaging/Information Photonics/Signal Recovery and Synthesis Topical Meetings on CD ROM, OSA electronic proceedings Technical Digest AWB 2, Optical Society of America, Charlotte, (2005).

Charton, J.

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

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, “NAOS, the first AO system of the VLT: on sky performance,” in Adaptive Optical System Technology II, Bellingham, Proc. SPIE4839, 140–149, (2002).
[Crossref]

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. Hubin, “NACO performance: status after 2 years of operation,” in Advancements in Adaptive Optics, D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni eds., Proc. SPIE5490, 107–117, (2004).
[Crossref]

Conan, J.-M.

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. Kulcsár, H.-F. Raynaud, T. Fusco, J. Montri, and D. Rabaud,“Optimal Control for Multi-conjugate Adaptive Optics,” Comptes Rendus de l’Académie des Science Physique 6, 1059–1069, (2005) (http://www.sciencedirect.com/science/journal/16310705).

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

T. Fusco, C. Petit, G. Rousset, J.-F. Sauvage, J.-M. Conan, A. Blanc, and J.-L. Beuzit, “Optimization of the pre-compensation of non-common path aberrations for adaptive optics systems,” in Adaptive Optics: Analysis and Methods/Computational Optical Sensing and Imaging/Information Photonics/Signal Recovery and Synthesis Topical Meetings on CD ROM, OSA electronic proceedings Technical Digest AWB 2, Optical Society of America, Charlotte, (2005).

C. Petit, F. Quiros-Pacheco, J.-M. Conan, C. Kulcsár, H.-F. Raynaud, T. Fusco, and G. Rousset, “Kalman Filter based control loop for Adaptive Optics,” in Advancements in Adaptive Optics, D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni eds., Proc. SPIE5490,1414–1425,(2004).
[Crossref]

Cottet, F.

F. Cottet, Traitement des signaux et acquisition de données (Dunod,2002).

de Lesegno, P. Viaris

Dessenne, C.

C. Dessenne, P.-Y. Madec, and G. Rousset , “Optimization of a predictive controller for closed-loop adaptive optics,” Appl. Opt.,  37, 4623–4633, (1998).
[Crossref]

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

Dohlen, K.

Frenette, D.

J. A. Stoesz, J.-P. Véran, F. Rigaut, G. Herriot, L. Jolissaint, and D. Frenette, “Evaluation of the on-sky performance of Altair,” in Advancements in Adaptive Optics, D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni eds., Proc. SPIE5490, 67–78, (2004).
[Crossref]

Fusco, T.

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

C. Petit, J.-M. Conan, C. Kulcsár, H.-F. Raynaud, T. Fusco, J. Montri, and D. Rabaud,“Optimal Control for Multi-conjugate Adaptive Optics,” Comptes Rendus de l’Académie des Science Physique 6, 1059–1069, (2005) (http://www.sciencedirect.com/science/journal/16310705).

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

C. Petit, F. Quiros-Pacheco, J.-M. Conan, C. Kulcsár, H.-F. Raynaud, T. Fusco, and G. Rousset, “Kalman Filter based control loop for Adaptive Optics,” in Advancements in Adaptive Optics, D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni eds., Proc. SPIE5490,1414–1425,(2004).
[Crossref]

T. Fusco, C. Petit, G. Rousset, J.-F. Sauvage, J.-M. Conan, A. Blanc, and J.-L. Beuzit, “Optimization of the pre-compensation of non-common path aberrations for adaptive optics systems,” in Adaptive Optics: Analysis and Methods/Computational Optical Sensing and Imaging/Information Photonics/Signal Recovery and Synthesis Topical Meetings on CD ROM, OSA electronic proceedings Technical Digest AWB 2, Optical Society of America, Charlotte, (2005).

Y. Clénet, M.E. Kasper, N. Ageorges, C. Lidman, T. Fusco, O. Marco, M. Hartung, D. Mouillet, B. Koehler, G. Rousset, and N. Hubin, “NACO performance: status after 2 years of operation,” in Advancements in Adaptive Optics, D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni eds., Proc. SPIE5490, 107–117, (2004).
[Crossref]

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, “NAOS, the first AO system of the VLT: on sky performance,” in Adaptive Optical System Technology II, Bellingham, Proc. SPIE4839, 140–149, (2002).
[Crossref]

Gavel, D. T.

D. M Wiberg, C. E. Max, and D. T. Gavel. “A special non-dynamic LQG controller: part I, application to adaptive optics,” Proceedings of the 43th IEEE Conference on Decision and Control, 3:3333–3338, (2004).

Gendron, E.

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, “NAOS, the first AO system of the VLT: on sky performance,” in Adaptive Optical System Technology II, Bellingham, Proc. SPIE4839, 140–149, (2002).
[Crossref]

Gigan, P.

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, “NAOS, the first AO system of the VLT: on sky performance,” in Adaptive Optical System Technology II, Bellingham, Proc. SPIE4839, 140–149, (2002).
[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. Hubin, “NACO performance: status after 2 years of operation,” in Advancements in Adaptive Optics, D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni eds., Proc. SPIE5490, 107–117, (2004).
[Crossref]

Herriot, G.

J. A. Stoesz, J.-P. Véran, F. Rigaut, G. Herriot, L. Jolissaint, and D. Frenette, “Evaluation of the on-sky performance of Altair,” in Advancements in Adaptive Optics, D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni eds., Proc. SPIE5490, 67–78, (2004).
[Crossref]

Hubin, N.

Y. Clénet, M.E. Kasper, N. Ageorges, C. Lidman, T. Fusco, O. Marco, M. Hartung, D. Mouillet, B. Koehler, G. Rousset, and N. Hubin, “NACO performance: status after 2 years of operation,” in Advancements in Adaptive Optics, D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni eds., Proc. SPIE5490, 107–117, (2004).
[Crossref]

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, “NAOS, the first AO system of the VLT: on sky performance,” in Adaptive Optical System Technology II, Bellingham, Proc. SPIE4839, 140–149, (2002).
[Crossref]

Jolissaint, L.

J. A. Stoesz, J.-P. Véran, F. Rigaut, G. Herriot, L. Jolissaint, and D. Frenette, “Evaluation of the on-sky performance of Altair,” in Advancements in Adaptive Optics, D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni eds., Proc. SPIE5490, 67–78, (2004).
[Crossref]

Kasper, M.

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. Hubin, “NACO performance: status after 2 years of operation,” in Advancements in Adaptive Optics, D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni eds., Proc. SPIE5490, 107–117, (2004).
[Crossref]

Kern, P.

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, “NAOS, the first AO system of the VLT: on sky performance,” in Adaptive Optical System Technology II, Bellingham, Proc. SPIE4839, 140–149, (2002).
[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. Hubin, “NACO performance: status after 2 years of operation,” in Advancements in Adaptive Optics, D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni eds., Proc. SPIE5490, 107–117, (2004).
[Crossref]

Kulcsár, C.

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. Kulcsár, H.-F. Raynaud, T. Fusco, J. Montri, and D. Rabaud,“Optimal Control for Multi-conjugate Adaptive Optics,” Comptes Rendus de l’Académie des Science Physique 6, 1059–1069, (2005) (http://www.sciencedirect.com/science/journal/16310705).

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

C. Petit, F. Quiros-Pacheco, J.-M. Conan, C. Kulcsár, H.-F. Raynaud, T. Fusco, and G. Rousset, “Kalman Filter based control loop for Adaptive Optics,” in Advancements in Adaptive Optics, D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni eds., Proc. SPIE5490,1414–1425,(2004).
[Crossref]

Lacombe, F.

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, “NAOS, the first AO system of the VLT: on sky performance,” in Adaptive Optical System Technology II, Bellingham, Proc. SPIE4839, 140–149, (2002).
[Crossref]

Lagrange, A.-M.

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, “NAOS, the first AO system of the VLT: on sky performance,” in Adaptive Optical System Technology II, Bellingham, Proc. SPIE4839, 140–149, (2002).
[Crossref]

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. Hubin, “NACO performance: status after 2 years of operation,” in Advancements in Adaptive Optics, D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni eds., Proc. SPIE5490, 107–117, (2004).
[Crossref]

Looze, D.

Macintosh, B. A.

Madec, P.-Y.

C. Dessenne, P.-Y. Madec, and G. Rousset , “Optimization of a predictive controller for closed-loop adaptive optics,” Appl. Opt.,  37, 4623–4633, (1998).
[Crossref]

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, “NAOS, the first AO system of the VLT: on sky performance,” in Adaptive Optical System Technology II, Bellingham, Proc. SPIE4839, 140–149, (2002).
[Crossref]

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. Hubin, “NACO performance: status after 2 years of operation,” in Advancements in Adaptive Optics, D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni eds., Proc. SPIE5490, 107–117, (2004).
[Crossref]

Max, C. E.

D. M Wiberg, C. E. Max, and D. T. Gavel. “A special non-dynamic LQG controller: part I, application to adaptive optics,” Proceedings of the 43th IEEE Conference on Decision and Control, 3:3333–3338, (2004).

Mohtadi, C.

C. Mohtadi, “Bode’s integral theorem for discrete-time systems,” Proceedings of the IEE 137, 57–66, (1990).

Montri, J.

C. Petit, J.-M. Conan, C. Kulcsár, H.-F. Raynaud, T. Fusco, J. Montri, and D. Rabaud,“Optimal Control for Multi-conjugate Adaptive Optics,” Comptes Rendus de l’Académie des Science Physique 6, 1059–1069, (2005) (http://www.sciencedirect.com/science/journal/16310705).

Mouillet, D.

T. Fusco, G. Rousset, J. -F. Sauvage, C. Petit, J. -L. Beuzit, K. Dohlen, D. Mouillet, J. Charton, M. Nicolle, M. Kasper, P. Baudoz, and P. Puget, “High-order adaptive optics requirements for direct detection of extrasolar 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. Hubin, “NACO performance: status after 2 years of operation,” in Advancements in Adaptive Optics, D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni eds., Proc. SPIE5490, 107–117, (2004).
[Crossref]

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, “NAOS, the first AO system of the VLT: on sky performance,” in Adaptive Optical System Technology II, Bellingham, Proc. SPIE4839, 140–149, (2002).
[Crossref]

Mugnier, L.

Nicolle, M.

Paschall, R.

Petit, C.

T. Fusco, G. Rousset, J. -F. Sauvage, C. Petit, J. -L. Beuzit, K. Dohlen, D. Mouillet, J. Charton, M. Nicolle, M. Kasper, P. Baudoz, and P. Puget, “High-order adaptive optics requirements for direct detection of extrasolar 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. Kulcsár, H.-F. Raynaud, T. Fusco, J. Montri, and D. Rabaud,“Optimal Control for Multi-conjugate Adaptive Optics,” Comptes Rendus de l’Académie des Science Physique 6, 1059–1069, (2005) (http://www.sciencedirect.com/science/journal/16310705).

C. Petit, “Etude de la commande optimale en Optique Adaptative et Optique Adaptative MultiConjuguée, validation numérique et expérimentale,” Ph. D. thesis, Univ. Paris XIII, (2006).

C. Petit, F. Quiros-Pacheco, J.-M. Conan, C. Kulcsár, H.-F. Raynaud, T. Fusco, and G. Rousset, “Kalman Filter based control loop for Adaptive Optics,” in Advancements in Adaptive Optics, D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni eds., Proc. SPIE5490,1414–1425,(2004).
[Crossref]

T. Fusco, C. Petit, G. Rousset, J.-F. Sauvage, J.-M. Conan, A. Blanc, and J.-L. Beuzit, “Optimization of the pre-compensation of non-common path aberrations for adaptive optics systems,” in Adaptive Optics: Analysis and Methods/Computational Optical Sensing and Imaging/Information Photonics/Signal Recovery and Synthesis Topical Meetings on CD ROM, OSA electronic proceedings Technical Digest AWB 2, Optical Society of America, Charlotte, (2005).

Poyneer, L. A.

Puget, P.

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

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, “NAOS, the first AO system of the VLT: on sky performance,” in Adaptive Optical System Technology II, Bellingham, Proc. SPIE4839, 140–149, (2002).
[Crossref]

Quiros-Pacheco, F.

C. Petit, F. Quiros-Pacheco, J.-M. Conan, C. Kulcsár, H.-F. Raynaud, T. Fusco, and G. Rousset, “Kalman Filter based control loop for Adaptive Optics,” in Advancements in Adaptive Optics, D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni eds., Proc. SPIE5490,1414–1425,(2004).
[Crossref]

Rabaud, D.

C. Petit, J.-M. Conan, C. Kulcsár, H.-F. Raynaud, T. Fusco, J. Montri, and D. Rabaud,“Optimal Control for Multi-conjugate Adaptive Optics,” Comptes Rendus de l’Académie des Science Physique 6, 1059–1069, (2005) (http://www.sciencedirect.com/science/journal/16310705).

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, “NAOS, the first AO system of the VLT: on sky performance,” in Adaptive Optical System Technology II, Bellingham, Proc. SPIE4839, 140–149, (2002).
[Crossref]

Rabou, P.

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, “NAOS, the first AO system of the VLT: on sky performance,” in Adaptive Optical System Technology II, Bellingham, Proc. SPIE4839, 140–149, (2002).
[Crossref]

Raynaud, H.-F.

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. Kulcsár, H.-F. Raynaud, T. Fusco, J. Montri, and D. Rabaud,“Optimal Control for Multi-conjugate Adaptive Optics,” Comptes Rendus de l’Académie des Science Physique 6, 1059–1069, (2005) (http://www.sciencedirect.com/science/journal/16310705).

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

C. Petit, F. Quiros-Pacheco, J.-M. Conan, C. Kulcsár, H.-F. Raynaud, T. Fusco, and G. Rousset, “Kalman Filter based control loop for Adaptive Optics,” in Advancements in Adaptive Optics, D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni eds., Proc. SPIE5490,1414–1425,(2004).
[Crossref]

Rigaut, F.

J. A. Stoesz, J.-P. Véran, F. Rigaut, G. Herriot, L. Jolissaint, and D. Frenette, “Evaluation of the on-sky performance of Altair,” in Advancements in Adaptive Optics, D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni eds., Proc. SPIE5490, 67–78, (2004).
[Crossref]

Rousset, G.

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

C. Dessenne, P.-Y. Madec, and G. Rousset , “Optimization of a predictive controller for closed-loop adaptive optics,” Appl. Opt.,  37, 4623–4633, (1998).
[Crossref]

T. Fusco, C. Petit, G. Rousset, J.-F. Sauvage, J.-M. Conan, A. Blanc, and J.-L. Beuzit, “Optimization of the pre-compensation of non-common path aberrations for adaptive optics systems,” in Adaptive Optics: Analysis and Methods/Computational Optical Sensing and Imaging/Information Photonics/Signal Recovery and Synthesis Topical Meetings on CD ROM, OSA electronic proceedings Technical Digest AWB 2, Optical Society of America, Charlotte, (2005).

C. Petit, F. Quiros-Pacheco, J.-M. Conan, C. Kulcsár, H.-F. Raynaud, T. Fusco, and G. Rousset, “Kalman Filter based control loop for Adaptive Optics,” in Advancements in Adaptive Optics, D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni eds., Proc. SPIE5490,1414–1425,(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. Hubin, “NACO performance: status after 2 years of operation,” in Advancements in Adaptive Optics, D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni eds., Proc. SPIE5490, 107–117, (2004).
[Crossref]

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, “NAOS, the first AO system of the VLT: on sky performance,” in Adaptive Optical System Technology II, Bellingham, Proc. SPIE4839, 140–149, (2002).
[Crossref]

Roux, B. Le

Sauvage, J. -F.

Sauvage, J.-F.

T. Fusco, C. Petit, G. Rousset, J.-F. Sauvage, J.-M. Conan, A. Blanc, and J.-L. Beuzit, “Optimization of the pre-compensation of non-common path aberrations for adaptive optics systems,” in Adaptive Optics: Analysis and Methods/Computational Optical Sensing and Imaging/Information Photonics/Signal Recovery and Synthesis Topical Meetings on CD ROM, OSA electronic proceedings Technical Digest AWB 2, Optical Society of America, Charlotte, (2005).

Stadler, E.

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, “NAOS, the first AO system of the VLT: on sky performance,” in Adaptive Optical System Technology II, Bellingham, Proc. SPIE4839, 140–149, (2002).
[Crossref]

Stoesz, J. A.

J. A. Stoesz, J.-P. Véran, F. Rigaut, G. Herriot, L. Jolissaint, and D. Frenette, “Evaluation of the on-sky performance of Altair,” in Advancements in Adaptive Optics, D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni eds., Proc. SPIE5490, 67–78, (2004).
[Crossref]

Véran, J.-P.

L. A. Poyneer, B. A. Macintosh, and J.-P. Véran, “Fourier transform wavefront control with adaptive prediction of the atmosphere,” J. Opt. Soc. Am. A 24, 2645–2660 (2007).
[Crossref]

J. A. Stoesz, J.-P. Véran, F. Rigaut, G. Herriot, L. Jolissaint, and D. Frenette, “Evaluation of the on-sky performance of Altair,” in Advancements in Adaptive Optics, D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni eds., Proc. SPIE5490, 67–78, (2004).
[Crossref]

Wiberg, D. M

D. M Wiberg, C. E. Max, and D. T. Gavel. “A special non-dynamic LQG controller: part I, application to adaptive optics,” Proceedings of the 43th IEEE Conference on Decision and Control, 3:3333–3338, (2004).

Zins, G.

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, “NAOS, the first AO system of the VLT: on sky performance,” in Adaptive Optical System Technology II, Bellingham, Proc. SPIE4839, 140–149, (2002).
[Crossref]

Appl. Opt. (2)

Comptes Rendus de l’Académie des Science Physique (1)

C. Petit, J.-M. Conan, C. Kulcsár, H.-F. Raynaud, T. Fusco, J. Montri, and D. Rabaud,“Optimal Control for Multi-conjugate Adaptive Optics,” Comptes Rendus de l’Académie des Science Physique 6, 1059–1069, (2005) (http://www.sciencedirect.com/science/journal/16310705).

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

Opt. Express (2)

Proceedings of the IEE (1)

C. Mohtadi, “Bode’s integral theorem for discrete-time systems,” Proceedings of the IEE 137, 57–66, (1990).

Other (9)

T. Fusco, C. Petit, G. Rousset, J.-F. Sauvage, J.-M. Conan, A. Blanc, and J.-L. Beuzit, “Optimization of the pre-compensation of non-common path aberrations for adaptive optics systems,” in Adaptive Optics: Analysis and Methods/Computational Optical Sensing and Imaging/Information Photonics/Signal Recovery and Synthesis Topical Meetings on CD ROM, OSA electronic proceedings Technical Digest AWB 2, Optical Society of America, Charlotte, (2005).

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

C. Petit, “Etude de la commande optimale en Optique Adaptative et Optique Adaptative MultiConjuguée, validation numérique et expérimentale,” Ph. D. thesis, Univ. Paris XIII, (2006).

D. M Wiberg, C. E. Max, and D. T. Gavel. “A special non-dynamic LQG controller: part I, application to adaptive optics,” Proceedings of the 43th IEEE Conference on Decision and Control, 3:3333–3338, (2004).

F. Cottet, Traitement des signaux et acquisition de données (Dunod,2002).

G. Rousset, F. Lacombe, P. Puget, N. Hubin, E. Gendron, T. Fusco, R. Arsenault, J. Charton, P. Gigan, P. Kern, A.-M. Lagrange, P.-Y. Madec, D. Mouillet, D. Rabaud, P. Rabou, E. Stadler, and G. Zins, “NAOS, the first AO system of the VLT: on sky performance,” in Adaptive Optical System Technology II, Bellingham, Proc. SPIE4839, 140–149, (2002).
[Crossref]

Y. Clénet, M.E. Kasper, N. Ageorges, C. Lidman, T. Fusco, O. Marco, M. Hartung, D. Mouillet, B. Koehler, G. Rousset, and N. Hubin, “NACO performance: status after 2 years of operation,” in Advancements in Adaptive Optics, D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni eds., Proc. SPIE5490, 107–117, (2004).
[Crossref]

J. A. Stoesz, J.-P. Véran, F. Rigaut, G. Herriot, L. Jolissaint, and D. Frenette, “Evaluation of the on-sky performance of Altair,” in Advancements in Adaptive Optics, D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni eds., Proc. SPIE5490, 67–78, (2004).
[Crossref]

C. Petit, F. Quiros-Pacheco, J.-M. Conan, C. Kulcsár, H.-F. Raynaud, T. Fusco, and G. Rousset, “Kalman Filter based control loop for Adaptive Optics,” in Advancements in Adaptive Optics, D. Bonaccini Calia, B. L. Ellerbroek, and R. Ragazzoni eds., Proc. SPIE5490,1414–1425,(2004).
[Crossref]

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Figures (4)

Fig. 1.
Fig. 1.

Numerical simulation of three vibrations filtering (pure at 6,15 Hz, large at 8 Hz). Transfer |Tx (ν)| of the x average slope is plotted for standard and vibration filtering LQG control law.

Fig. 2.
Fig. 2.

Picture of the experimental set-up for vibration filtering validation. The AO bench is on the right, under its baffling. The seismic vibration generator is in the middle of the picture, placed on its stage and against the AO bench (cylindrical black component).

Fig. 3.
Fig. 3.

Experimental CTPSD of the x average slope for a LQG control law, without vibration (dotted line), with vibration and no specific filtering (dashed), and with vibration filtering (solid). Experimental error bound is lower than ±2.5 10-4(λ/D)2.

Fig. 4.
Fig. 4.

Comparison of the experimental x average slope transfer. Top is obtained with integrator (dotted) and compared to theory (solid). Bottom is obtained with vibration filtering LQG control (dotted) and compared to numerical simulation (solid).

Tables (1)

Tables Icon

Table 1. Performance in terms of Strehl Ratio (SR) for the various control laws, in presence or not of vibration. SR are given with a ±0.5% error bar. Error on SR evaluation is statistically estimated on a large number of measurements and error bar corresponds to ± the root mean square.

Equations (26)

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

ϕ n 1 cor = Nu n 2 ,
y n = D ( ϕ n 1 ϕ n 1 cor ) + w n ,
ε ( u n ) = ϕ n + 1 N u n 2 turb , noise .
x n + 1 = A x n + B u n + ν n ,
y n = C x n + w n ,
x n t = ( ϕ n t , ϕ n 1 t , u n 1 t , u n 2 t ) ,
ϕ n + 1 = A tur ϕ n + ν n ,
x n + 1 = ( A tur 0 0 0 Id 0 0 0 0 0 0 0 0 0 Id 0 ) x n + ( 0 0 Id 0 ) u n + ( Id 0 0 0 ) ν n ,
y n = D ( 0 Id 0 N ) x n + w n .
x ̂ n + 1 n = A x ̂ n n 1 + B u n + L n ( y n C x ̂ n n 1 ) .
L n = A n n 1 C t ( C n n 1 C t + w ) 1 ,
n + 1 n = A n n 1 A t + v A n n 1 C t ( C n n 1 C t + w ) 1 C n n 1 A t .
u n = K x ̂ n + 1 n ,
ϕ n glob = ϕ n + ϕ n vib .
ϕ ̈ + 2 K ω 0 ϕ ̇ + ω 0 2 ϕ = C ω 0 2 ξ ,
ϕ ˜ ( p ) = H ( p ) ξ ˜ ( p ) ,
H ( p ) = C ω 0 2 p 2 + 2 K ω 0 p + ω 0 2 .
ϕ n = ϕ ( n T ) , ξ n = ξ ( n T ) .
ϕ ˜ ( z ) = H ( z ) ξ ˜ ( z ) .
z = e pT .
H ( z ) = C ω 0 2 T 1 1 2 e K ω 0 T cos ( ω 0 T 1 K 2 ) z 1 + e 2 K ω 0 T z 2 .
ϕ n vib = a 1 ϕ n 1 vib + a 2 ϕ n 2 vib + ξ n ,
a 1 = 2 e K ω 0 T cos ( ω 0 T 1 K 2 ) , a 2 = e 2 K ω 0 T .
x n t = ( ϕ n vib t , ϕ n 1 vib t , ϕ n t , ϕ n 1 t , u n 1 t , u n 2 t ) .
y n = D ( ϕ n 1 glob ϕ n 1 cor ) + w n .
T x , y ( ν ) = PSD cl x , y ( ν ) PSD ol x , y ( ν ) .

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