一类具有记忆的线性切换系统的鲁棒H_∞控制

The Robust H_∞ Control for a Class of Linear Switched Systems with Memory

采用Lyapunov-Krasovskii泛函、Schur补引理和线性矩阵不等式方法,设计了带有记忆的控制器,研究不确定参数的线性切换系统及鲁棒H∞控制问题,在任意切换策略下,导出鲁棒H∞控制器的充分条件。采用带有记忆的控制器,分析了系统的稳定性及H∞性能,并通过仿真实例证实了结论的有效性。

Based on Lyapunov-Krasovskii function,Schur complement Lemma and matrix inequality,we designed a controller with memory and discussed the H∞ control problem for a class of linear switched systems with parameter uncertainty.Under arbitrary switching laws,the sufficient conditions for robust H∞state feedback control problems were derived.By using the controller with memory,the asymptotic stability and H∞performance of these systems were analyzed.To confirm the effectiveness of the conclusions,numerical examples were shown in the paper.