不确定变时滞Lurie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 Time-Varying Delays

在基于Lyapunov-Krasovskii泛函、Schur补引理及矩阵不等式方法下,讨论了一类具有变时滞不确定性Lurie切换系统,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,且有记忆控制器的设计,为系统的稳定性分析及控制器的综合提供了更多的自由度,最后的结果转化为线性矩阵不等式给出,通过数值仿真,验证了定理的有效性和实用性.

This paper considers the issues of H∞ control via state memory feedback for a class of uncertain Lurie switching systems with time-varying delays.Under the circumstances of a state-based switching law,and based on the Lyapunov-Krasovskii functional techniques,Schour complement lemma,and linear matrix inequality,the existing condition of robust H∞ output feedback controller with memory is obtained.Meanwhile,robust H∞ controllers for each subsystem under the switching law are designed.It is believed that controller with memory should provide more freedom for robust stability analysis and synthesis controller for the systems.In the final,the results are given in the form of linear matrix inequalities(LMIs).And the validity of the conclusion is shown by numerical examples.