Control of adaptive optics system: An H-infinite approach

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 17, Issue 1 PART 1, 2008, Pages

  Baudouin, Lucie ^a   Prieur, Christophe ^a   Guignard, Fabien ^a   Arzelier, Denis ^a  

^a NONE

Author keywords

Vibration and modal analysis

Indexed keywords

ADAPTIVE OPTICS SYSTEMS; CONTINUOUS TIME CONTROL; CONTROL PROBLEMS; DEFORMABLE MIRRORS; INFINITE DIMENSIONAL; MULTI VARIABLES; PLATE EQUATIONS; SINGLE INPUT SINGLE OUTPUT; STATE SPACE APPROACH; TURBULENT PHASE; VIBRATION AND MODAL ANALYSIS;

DYNAMIC MODELS; MIRRORS; MODAL ANALYSIS; ROBUST CONTROL; VIBRATION ANALYSIS;

ADAPTIVE CONTROL SYSTEMS;

EID: 79961018678     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20080706-5-KR-1001.2131     Document Type: Conference Paper

References (17)

1. - M. Amabili, A. Pasqualini and G. Dalpiaz Natural frequencies and modes of free-edge circular plates vibrating in vacuum or in contact with liquid, J. Sound Vibration 188 (1995), no.5, 685-699.
2. - R.D. Blevins, Formulas for natural frequency and mode shape, Kriger, 1979.
3. - J.-M. Conan, G. Rousset et P.Y Madec Wavefront temporal spectra in high resolution imaging through turbulence, J. Opt. Soc. Am. A, Vol.12, No.7(1995).
4. - R. Curtain A. M. Peters and B. Van Keulen, H°-control with state-feedback: the infinite-dimensional case, J. Math. Syst. Estim. Control, 3 (1993), 1, 1-39.
5. - J. C. Doyle, K. Glover and K. Zhou Robust and Optimal Control, Prentice-Hall, 1996.
6. - B.W. Frazier, R.K. Tyson, M. Smith and J. Roche, Theory and operation of a robust controller for a compact adaptive optics system, Opt. Eng. (2004) 43 (12), 2912-2920.
7. - C. Hogge and R. Butts Frequency spectra for the geometric representation of wavefront distortions due to atmospheric turbulence, IEEE transactions on antennas and propagation, 1976.
8. - Z.-H. Luo, B.-Z. Guo and O. Morgul Stability and stabilization of infinite dimensional systems with applications, Communications and Control Engineering Series Springer-Verlag, London, 1999.
9. - M. Lenczner and C. Prieur, Asymptotic model of an active mirror, 13th IFAC Workshop on Control applications of Optimization, Cachan, France, 2006.
10. - J.-L. Lions and G. Duvaut, Les in«equations en M«ecanique et en Physique, Dunod, 1972.
11. - D.W. Miller and S.C.O. Grocott, Robust control of the multiple mirror telescope adaptive secondary mirror, Opt. Eng., (1999) 38 (8), 1276-1287.
12. - R. Noll, Zernike polynomials and atmospheric turbulence, The Optical Society of America, Vol 66 No 3, 1976.
13. - R. Paschall and D. Anderson Linear quadratic Gausian control of a deformable mirror adaptive optics system with time-delayed measurments, Applied optics, Vol.32 No 31, 1993.
14. - M. Pazy Semigroups of linear operators and applications to partial differential equations, Applied Mathematical Sciences, 44 Springer-Verlag, New York, 1983.
15. - H.-F. Raynaud, C. Kulcs«ar, C. Petit, J.-M. Conan, P. Viaris de Lesegno, Optimal control, observers and integrators in adaptive optics, Optics express, Vol. 14, No. 17, 2006.
16. - F. Rodier, Adaptive optics in Astronomy, Cambridge University Press, 1999.
17. - B. Van Keulen, H°-control with measurement-feedback for linear infinite-dimensional systems,