一类非线性离散时滞切换系统鲁棒H_∞容错控制

Robust H-infinity fault-tolerant control for a class of nonlinear discrete switched systems with time delay

针对一类时变时滞离散非线性系统在时滞状态反馈控制下的控制器失效事件问题,基于切换控制的思想,将系统等价为两个系统,一个是控制器未失效时的稳定子系统,另一个是控制器发生失效时的不稳定子系统。应用多Lyapunov函数及平均驻留时间法,得出确保系统指数稳定且具有加权l2增益的充分条件;通过求解线性矩阵不等式,得出时滞状态反馈H∞切换控制器。最后,通过仿真实例证明了其可行性。

To solve the problem of controller transient failure,a class of discrete nonlinear systems with varying delays is studied under state feedback control with time delay.Based on the idea of switching control,this system can be equivalent to two systems,the stable subsystem and unstable one when the controller fails.In the unstable subsystem,by means of multi-Lyapunov function and mean resident time method,sufficient conditions are obtained to ensure the system exponential stability and weighted gain;the time-delay state feedback switching controller is obtained by solving linear matrix inequality.Finally,numerical simulation proves that this method is feasible.