光子学报, 2014, 43 (12): 1201003, 网络出版: 2014-12-26  

基于混合H2/H控制的自适应光学系统设计与仿真

Design and Simulation of the Adaptive Optics System Based on Mixed H2/H Control
赵欣 1,2,*马彩文 1
作者单位
1 中国科学院西安光学精密机械研究所, 西安 710119
2 中国科学院大学, 北京 100049
摘要
为了使自适应光学系统校正后的残余波前整体倾斜小并且系统的鲁棒稳定性好, 提出采用混合H2/H∞控制方法来设计自适应光学系统控制器.为了验证控制效果, 通过自适应光学波前整体倾斜校正试验平台仿真了大气湍流波前整体倾斜, 对比了采用混合H2/H∞控制器和采用经典积分控制器的自适应光学波前整体倾斜校正试验平台的残余波前整体倾斜以及系统的鲁棒稳定性.结果表明, 相对于采用积分控制器的试验平台, 采用混合H2/H∞控制器的试验平台同时获得了更小的残余波前整体倾斜和更好的鲁棒稳定性, 证明了自适应光学系统混合H2/H∞控制方法的有效性.
Abstract
To achieve small residual wavefront gradient tilt corrected by the adaptive optics system and good robust stability of the system, a mixed H2/H∞ control method for the adaptive optics system was proposed. In order to verify the control performance, the atmospheric turbulence wavefront gradient tilt was simulated, and the residual wavefront gradient tilt corrected by the adaptive optics wavefront gradient tilt correction test platform with the mixed H2/H∞ controller and by the one with the classic integral controller was compared. The robust stability of the two systems was compared as well. The result demonstrated that the test platform with the mixed H2/H∞ controller achieved not only smaller residual wavefront gradient tilt but also better robust stability compared to the one with the classic integral controller, and proved the efficiency of the mixed H2/H∞ control method for the adaptive optics system.

赵欣, 马彩文. 基于混合H2/H控制的自适应光学系统设计与仿真[J]. 光子学报, 2014, 43(12): 1201003. ZHAO Xin, MA Cai-wen. Design and Simulation of the Adaptive Optics System Based on Mixed H2/H Control[J]. ACTA PHOTONICA SINICA, 2014, 43(12): 1201003.

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