随机重复过程的鲁棒L_2-L_∞动态输出反馈控制

Robust L_2-L_∞ Dynamic Output Feedback Control of Stochastic Repetitive Processes

应用Lyapunov函数及线性矩阵不等式技术研究了随机重复过程的鲁棒L2-L∞动态输出反馈控制问题,目的是设计一个全阶控制器使随机重复过程均方渐近稳定。给出鲁棒L2-L∞全阶控制器存在的充分条件,并将控制器的设计转化为一个凸优化的求解问题。所设计的控制器能够保证相对于所有能量有界的外界扰动信号,重复过程的L2-L∞性能指标小于一定值γ。仿真实例证实了该设计方法的有效性。

In order to design a full order controller to repeat the process of random mean-square asymptotically stable,the problem of L2-L∞ dynamic output feedback control for a class of stochastic linear repetitive processes was investigated by using of stochastic Lyapunov stability theory and linear matrix inequality.The existence sufficient conditions of robust L2-L∞ full order controller was given,and the controller design was translated into a convex optimization problem.The designed controller could guarantee all external disturbance signal relative to energy bounded,and the L2-L∞ performance index of repeat process was less than a certain value γ.Simulation examples verify the effectiveness of the method.