为了设计出结构简单、低阶次的自适应光学系统鲁棒控制器, 提出了自适应光学系统的非光滑H∞控制.采用传统H∞控制方法结合基于Hankel奇异值的模型降阶法, 设计了全阶H∞控制器和降阶H∞控制器, 控制器的阶次分别为226阶和163阶.采用非光滑H∞控制方法, 所设计出的控制器仅为一个常数矩阵与4阶单输入单输出传递函数的乘积.为了验证和比较控制效果, 模拟了动态大气湍流波前相位及采用全阶H∞控制器和采用非光滑H∞控制器的自适应光学系统的校正后残余波前相位, 仿真结果表明, 两个自适应光学系统有着近似的控制效果, 证明了自适应光学系统非光滑H∞控制的有效性.

To design an adaptive optics robust controller with the characteristics of simple structure and low orders, a nonsmooth H∞ control method for the adaptive optics system was proposed.The full order H∞ controller and the reduced order H∞ controller were designed by conventional H∞ control method combined with model reduction based on Hankel singular values.And the orders of the controllers are 226 and 163 respectively, whereas the nonsmooth H∞ controller designed for the system is simply the product of a constant matrix and a 4 order single input single output transfer function.For the sake of control performance verification and comparation, the dynamic atmospheric turbulence wavefront phase was simulated, as well as the residual wavefront phase corrected by adaptive optics systems with the full order H∞ controller and with the nonsmooth H∞ controller.The simulation demonstrates that the two adaptive optics systems achieve approximate control performance, and proves the efficiency of nonsmooth H∞ control method for the adaptive optics system.