First laboratory validation of vibration filtering with LQG control law for Adaptive Optics

doi:10.1364/OE.16.000087

Optics Express

Editor: C. Martijn de Sterke
Vol. 16, Iss. 1 — Jan. 7, 2008
pp: 87–97

First laboratory validation of vibration filtering with LQG control law for Adaptive Optics

Cyril Petit, Jean-Marc Conan, Caroline Kulcsár, Henri-Francois Raynaud, and Thierry Fusco »View Author Affiliations

Optics Express, Vol. 16, Issue 1, pp. 87-97 (2008)
http://dx.doi.org/10.1364/OE.16.000087

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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.

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(100.3190) Image processing : Inverse problems

ToC Category:
Adaptive Optics

History
Original Manuscript: August 1, 2007
Revised Manuscript: October 19, 2007
Manuscript Accepted: October 29, 2007
Published: January 2, 2008

Citation
Cyril Petit, Jean-Marc Conan, Caroline Kulcsár, Henri-Francois Raynaud, and Thierry Fusco, "First laboratory validation of vibration filtering with LQG control law for Adaptive Optics," Opt. Express 16, 87-97 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-1-87

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References

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. SPIE 4839, 140-149, (2002). [CrossRef]
Y. Cl’enet, 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. SPIE 5490, 107-117, (2004). [CrossRef]
J. A. Stoesz, J.-P. V’eran, 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. SPIE 5490, 67-78, (2004). [CrossRef]
C. Dessenne, P.-Y. Madec, G. Rousset, "Optimization of a predictive controller for closed-loop adaptive optics," Appl. Opt., 37, 4623-4633, (1998). [CrossRef]
C. Petit, J.-M. Conan, C. Kulcs’ar, H.-F. Raynaud, T. Fusco, J. Montri and D. Rabaud,"Optimal Control for Multi-conjugate Adaptive Optics," Comptes Rendus de l’Acad’emie des Science Physique 6, 1059-1069, (2005) (http://www.sciencedirect.com/science/journal/16310705).
B. Le Roux, J.-M. Conan, C. Kulcs’ar, 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. Kulcs’ar, 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. SPIE 5490,1414-1425,(2004). [CrossRef]
C. Kulcs’ar, 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]
F. Cottet, Traitement des signaux et acquisition de donn’ees (Dunod,2002).
C. Mohtadi., "Bode’s integral theorem for discrete-time systems," Proceedings of the IEE 137, 57-66, (1990).
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 pr’edictive en optique adaptative," Ph. D. thesis, Univ. Paris VII, (1998)
C. Petit, "Etude de la commande optimale en Optique Adaptative et Optique Adaptative MultiConjugu’ee, validation num’erique et exp’erimentale," Ph. D. thesis, Univ. Paris XIII, (2006).
R. Paschall and D. Anderson, "Linear Quadratic Gaussian control of a deformable mirror adaptive optics system with time-delayed measurements," Appl. Opt. 32, 6347-6358, (1993). [CrossRef] [PubMed]
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).
D. Looze, "Minimum variance control structure for adaptive optics systems," J. Opt. Soc. Am. A 23, 603-612 (2006). [CrossRef]
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]
L. A. Poyneer, B. A. Macintosh, and J.-P. V’eran, "Fourier transform wavefront control with adaptive prediction of the atmosphere," J. Opt. Soc. Am. A 24, 2645-2660 (2007). [CrossRef]

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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. SPIE 4839, 140-149, (2002). [CrossRef]

[2] Y. Cl’enet, 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. SPIE 5490, 107-117, (2004). [CrossRef]

[3] J. A. Stoesz, J.-P. V’eran, 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. SPIE 5490, 67-78, (2004). [CrossRef]

[4] C. Dessenne, P.-Y. Madec, G. Rousset, "Optimization of a predictive controller for closed-loop adaptive optics," Appl. Opt., 37, 4623-4633, (1998). [CrossRef]

[5] C. Petit, J.-M. Conan, C. Kulcs’ar, H.-F. Raynaud, T. Fusco, J. Montri and D. Rabaud,"Optimal Control for Multi-conjugate Adaptive Optics," Comptes Rendus de l’Acad’emie des Science Physique 6, 1059-1069, (2005) (http://www.sciencedirect.com/science/journal/16310705).

[6] B. Le Roux, J.-M. Conan, C. Kulcs’ar, 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]

[7] C. Petit, F. Quiros-Pacheco, J.-M. Conan, C. Kulcs’ar, 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. SPIE 5490,1414-1425,(2004). [CrossRef]

[8] C. Kulcs’ar, 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]

[9] F. Cottet, Traitement des signaux et acquisition de donn’ees (Dunod,2002).

[10] C. Mohtadi., "Bode’s integral theorem for discrete-time systems," Proceedings of the IEE 137, 57-66, (1990).

[11] 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).

[12] C. Dessenne, "Commande modale et pr’edictive en optique adaptative," Ph. D. thesis, Univ. Paris VII, (1998)

[13] C. Petit, "Etude de la commande optimale en Optique Adaptative et Optique Adaptative MultiConjugu’ee, validation num’erique et exp’erimentale," Ph. D. thesis, Univ. Paris XIII, (2006).

[14] R. Paschall and D. Anderson, "Linear Quadratic Gaussian control of a deformable mirror adaptive optics system with time-delayed measurements," Appl. Opt. 32, 6347-6358, (1993). [CrossRef] [PubMed]

[15] 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).

[16] D. Looze, "Minimum variance control structure for adaptive optics systems," J. Opt. Soc. Am. A 23, 603-612 (2006). [CrossRef]

[17] 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]

[18] L. A. Poyneer, B. A. Macintosh, and J.-P. V’eran, "Fourier transform wavefront control with adaptive prediction of the atmosphere," J. Opt. Soc. Am. A 24, 2645-2660 (2007). [CrossRef]

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First laboratory validation of vibration filtering with LQG control law for Adaptive Optics