OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 27, Iss. 11 — Nov. 1, 2010
  • pp: A122–A132

Tip–tilt disturbance model identification for Kalman-based control scheme: application to XAO and ELT systems

Serge Meimon, Cyril Petit, Thierry Fusco, and Caroline Kulcsar  »View Author Affiliations


JOSA A, Vol. 27, Issue 11, pp. A122-A132 (2010)
http://dx.doi.org/10.1364/JOSAA.27.00A122


View Full Text Article

Enhanced HTML    Acrobat PDF (659 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

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

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(100.3190) Image processing : Inverse problems
(120.7280) Instrumentation, measurement, and metrology : Vibration analysis

History
Original Manuscript: April 6, 2010
Revised Manuscript: August 13, 2010
Manuscript Accepted: August 16, 2010
Published: September 17, 2010

Citation
Serge Meimon, Cyril Petit, Thierry Fusco, and Caroline Kulcsar, "Tip–tilt disturbance model identification for Kalman-based control scheme: application to XAO and ELT systems," J. Opt. Soc. Am. A 27, A122-A132 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-11-A122


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  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]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited