针对一类同时存在状态和控制输入的Lurie时滞控制系统,利用Lyapunov稳定性定理并结合时滞分割法研究了该系统的鲁棒H∞控制器的分析与设计问题,得到了该系统渐进稳定且具有H∞性能的一个LMI条件,并给出了系统的有记忆状态反馈H∞控制律的设计方法。仿真实例表明了本文方法的可行性。
Analyzing and designing robust H∞ controllers for a class of time-delay Lurie control systems with state and control input is studied.By means of Lyapunov function and delay decomposition.A sufficient condition for the given systems with asymptotic stability and H∞ properties controller is presented in term of a certain linear matrix inequality,and the designing method of the order memory state feedback H∞ controllers is obtained.Numerical examples are given to illustrate the effectiveness.