不确定变时滞线性切换系统的H∞记忆输出反馈控制

H∞ Output Feedback Control with Memory for Uncertain Linear Switched Systems with Time-Varying Delays

本文首先讨论了一类具有时变时滞的具有不确定性的线性切换系统,综合利用公共Lyapunov泛函、Schur补引理及矩阵不等式方法,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;接着设计了有记忆的输出反馈控制器.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一定的自由度;最后通过数值仿真例子验证了所得结果的可行性.

This paper considers a class of uncertain switched linear systems with time-varying delays.Employed a common Lyapunov functional,Schour complement lemma and linear matrix inequality,a memory output feedback controller is designed.The existing condition of robust H∞ output feedback controller is obtained.The controller with memory should be provided more freedom for robust stability analysis and synthesis controller for the systems.In the final the effectiveness of conclusions is shown by numerical examples.