Exploiting the spatiotemporal correlation in adaptive optics using data-driven H2-optimal control

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 24, Issue 6, 2007, Pages 1714-1725

  Hinnen, Karel ^a   Verhaegen, Michel ^a   Doelman, Niek ^b  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b TNO   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; IDENTIFICATION (CONTROL SYSTEMS); OPTICAL SENSORS; OPTIMAL CONTROL SYSTEMS; TRANSFER FUNCTIONS; WAVEFRONTS;

MINIMUM-PHASE SPECTRAL FACTOR; SPATIOTEMPORAL CORRELATION; WAVEFRONT SENSOR;

ADAPTIVE OPTICS;

EID: 34447287826     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.24.001714     Document Type: Article

References (26)

1. J. W. Hardy, Adaptive Optics for Astronomical Telescopes (Oxford U. Press, 1998).
2. F. Roddier, Adaptive Optics in Astronomy (Cambridge U. Press, 1999).
3. M. A. van Dam, D. L. Mignant, and B. A. Macintosh, "Performance of Keck Observatory adaptive optics system," Appl. Opt. 43, 5458-5467 (2004).
4. N. F. Law and R. G. Lane, "Wavefront estimation at low light levels," Opt. Commun. 126, 19-24 (1996).
5. B. L. Ellerbroek, "Optimizing closed-loop adaptive-optics performance with use of multiple control bandwidths," J. Opt. Soc. Am. A 11, 2871-2886 (1994).
6. E. Gendron and P. Léna, "Astronomical adaptive optics" Astron. Astrophys. Arch. Ration. Mech. Anal. 291, 337-347 (1994).
7. G. I. Taylor, "The spectrum of turbulence," Proc. R. Soc. London, Ser. A 164, 476-490 (1938).
8. E. Gendron and P. Léna, "Single layer atmospheric turbulence demonstrated by adaptive optics observations," Astrophys. Space Sci. 239, 221-228 (1996).
9. 2-optimal control of an adaptive optics system: Part I, Data-driven modeling of the wavefront disturbance," Proc. SPIE 5203 75-85 (2005).
10. 2-optimal control of an adaptive optics system: part II, closed-loop controller design," Proc. SPIE 5903 86-99 (2005).
11. R. N. Paschall and D. J. Anderson, "Linear quadratic Gaussian control of a deformable mirror adaptive optics system with time-delayed measurements," Appl. Opt. 32, 6347-6358 (1993).
12. D. P. Looze, M. Kasper, S. Hippler, O. Beker, and R. Weiss, "Optimal compensation and implementation for adaptive optics systems" Exp. Astron. 15, 67-88 (2003).
13. 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).
14. C. K. 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).
15. D. P Looze, "Minimum variance control structure for adaptive optics systems," J. Opt. Soc. Am. A 23, 603-612 (2006).
16. 2-Optimal Control Approach for Adaptive Optics," (2006). Submitted to IEEE Transactions.
17. G. Vdovin and P. M. Sarro, "Flexible mirror micromachined in silicon," Appl. Opt. 34, 2969-2972 (1995).
18. S. Thomas, "Optimized centroid computing in a Shack-Hartmann sensor," Proc. SPIE 5490, 1238-1246 (2004).
19. K. J. Aström and B. Wittenmark, Computer-Controlled Systems, Theory and Design (Prentice-Hall, 1997).
20. T. Chen and B. Francis, Optimal Sampled-Data Control Systems (Springer-Verlag, 1995).
21. D. P Looze, "Realization of systems with CCD-based measurements," Automatica 41, 2005-2009 (2005).
22. L. Ljung, System Identification: Theory for the User (Prentice Hall, 1999).
23. G. H. Golub and V. Pereyra, "The differentiation of pseudoinverses and nonlinear least squares problems whose variables separate," SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 10, 413-432 (1973).
24. M. Kasper, "Optimization of an adaptive optics system and its application to high-resolution imaging spectroscopy of T Tauri," Ph.D. thesis (University of Heidelberg, 2000).
25. D. L. Fried, "Time-delay-induced mean-square error in adaptive optics," J. Opt. Soc. Am. A 7, 1224-1225 (1990).
26. V. Verdult and M. Verhaegen, "Identification of multivariable bilinear state space systems based on subspace techniques and separable least squares optimization," Int. J. Control 74, 1824-1836 (2001).