控制器失效下时滞系统L_∞可靠控制器设计

Design of L_∞ Reliable Controller for Delayed Systems with Controller Failure

研究一类控制器失效下时滞系统的鲁棒L_∞可靠控制问题。基于切换的思想,将控制器可能发生失效的系统转化为含有两个子系统的切换系统,其中一个子系统是控制器未发生失效时稳定的子系统,另一个是控制器发生失效时不稳定的子系统。利用多Lyapunov函数和平均驻留时间方法,得到线性矩阵不等式(LMI)表出的系统指数镇定且具有L_∞性能的条件及相应的L∞可靠切换控制器的设计方案,最后通过仿真验证方案的有效性。

The problem of robust L_∞ reliable control for a class of time-delay systems with controller failures is investigated.Based on the idea of switching,the system with possible failure of the controller is transformed into a switching system with two subsystems,one of which is a stable subsystem without controller failure and the other is unstable in the event of controller failure subsystem.By using the multiple Lyapunov function theory and the average dwell-time method,the exponential stabilization and L∞ performance of LMI are obtained,and the design scheme of the L∞reliable switching controller is obtained.Finally,the effectiveness of the scheme is verified by simulation.