Robust control of a bimorph mirror for adaptive optics systems

被引:19
作者
Baudouin, Lucie [1 ]
Prieur, Christophe [1 ]
Guignard, Fabien [1 ]
Arzelier, Denis [1 ]
机构
[1] Univ Toulouse, CNRS, LAAS, F-31077 Toulouse 4, France
关键词
D O I
10.1364/AO.47.003637
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We apply robust control techniques to an adaptive optics system including a dynamic model of the deformable mirror. The dynamic model of the mirror is a modification of the usual plate equation. We propose also a state-space approach to model the turbulent phase. A continuous time control of our model is suggested, taking into account the frequential behavior of the turbulent phase. An H-infinity controller is designed in an infinite-dimensional setting. Because of the multivariable nature of the control problem involved in adaptive optics systems, a significant improvement is obtained with respect to traditional single input-single output methods. (C) 2008 Optical Society of America.
引用
收藏
页码:3637 / 3645
页数:9
相关论文
共 20 条
[11]  
LIONS JL, 1972, INEQUATIONS MECANIQU
[12]  
LUO ZH, 1999, COMM CONT E, P1
[13]   Robust control of the Multiple Mirror Telescope adaptive secondary mirror [J].
Miller, DW ;
Grocott, SCO .
OPTICAL ENGINEERING, 1999, 38 (08) :1276-1287
[14]   ZERNIKE POLYNOMIALS AND ATMOSPHERIC-TURBULENCE [J].
NOLL, RJ .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA, 1976, 66 (03) :207-211
[15]  
Nye JF., 1985, Physical properties of crystals: their representation by tensors and matrices
[16]   LINEAR-QUADRATIC GAUSSIAN CONTROL OF A DEFORMABLE MIRROR ADAPTIVE OPTICS SYSTEM WITH TIME-DELAYED MEASUREMENTS [J].
PASCHALL, RN ;
ANDERSON, DJ .
APPLIED OPTICS, 1993, 32 (31) :6347-6358
[17]  
PAZY M, 1983, APPL MATH SCI, V44
[18]  
RODIER F, 1999, ADAPTIVE OPTICS ASTO
[19]  
Skogestad S., 2005, MULTIVARIABLE FEEDBA
[20]  
VANKEULEN B, 1993, J MATH SYSTEMS ESTIM, V3, P373