不确定多状态变时滞线性切换系统的H■记忆输出反馈控制

H■ memory output feedback control for uncertain linear switched systems with multiple time-varying delays in state

基于公共Lyapunov泛函、Schur补引理及矩阵不等式方法,讨论了一类不确定多状态变时滞线性切换系统的输出反馈问题.在切换状态输出反馈策略下,得到了鲁棒H∞控制性能要求下可行解存在的充分性判据,为系统的综合提供了可行性判据.设计了有记忆的输出反馈控制器以及切换规则,为系统的稳定性分析及控制器的综合提供了更多自由度.通过数值仿真,验证了所得结论的有效性和实用性.

Based on the common Lyapunov function,Schur complement lemma and matrix inequality method,the output feedback problem for a class of uncertain linear switched systems with time-varying delays in state is discussed.Under the switched state output feedback strategy,the sufficient criterion for the existence of feasible solutions under the requirements of robust H∞ control performance is obtained,which provides a feasible criterion for the synthesis of the system.The output feedback controller with memory and switching rules are designed,and the design of memory controller provides more degrees of freedom for the stability analysis of the system and the synthesis of the controller.The validity and practicability of the conclusions are verified by numerical simulation.