基于动态输出反馈控制器的变时滞Lurie不确定系统的鲁棒H∞控制

摘要

对于一类具有变时滞的Lurie不确定系统,利用Lyapunov-Krasovskii泛函、矩阵不等式方法、变量替换法和Schur补引理分析该系统的动态输出反馈鲁棒H∞ 控制器的设计问题,使得该系统具有渐近稳定性和H∞ 性能,并且给出了动态输出反馈H∞ 控制器的参数化表示.通过数值例子验证了所得结论的可行性.%This paper is concerned with the H-infinity control problem based on dynamic output feed-back controllers for a class of uncertain Lurie control systems with time-varying delay.Employed Lya-punov-Krasovskii function,Matrix inequality approach,Schur complement and Variable substitution meth-od,In addition,the asymptotic stability of Lurie systems and H ∞ performance are analyzed.And H ∞ con-troller is designed for the Lurie systems.The effectiveness of conclusion shows with numerical examples.