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针对控制器存在短暂失效的情形,研究一类时变时滞离散系统在时滞状态反馈控制下的H_∞控制器失效时间分析问题.本文的目标是寻求控制器正常工作时间与失效时间的比率应满足的条件以确保系统指数镇定且具有加权l_2增益.为此,基于切换的思想,所考虑的系统被转化为一个仅含有两个子系统的切换系统,其中一个子系统是控制器失效时的不稳定子系统,另一个是控制器未失效时的稳定子系统.通过使用多Lyapunov函数及平均驻留时间方法,给出问题可解的充分条件及时滞状态反馈H_∞切换控制器的设计方案.仿真算例表明了所得结果的有效性.
Aiming at the transient failure of controller, this paper studies the problem of H_∞ controller failure time under discrete-time feedback control with time-varying delay.The aim of this paper is to find the ratio of normal controller working time to failure time The conditions that should be met to ensure that the system index is stable and have a weighted gain of l_2 To this end, based on the idea of switching, the considered system is transformed into a switching system with only two subsystems, one of which is the controller Unstable subsystem and the other is a stable subsystem without controller failure.Using multi-Lyapunov functions and mean dwell time method, the sufficient conditions for solvable problem and the design scheme of H_∞ switching controller with time-delay state feedback are given. The simulation example shows the validity of the results obtained.