一类线性不确定切换时滞系统的可靠保成本控制

Reliable guaranteed-cost control for a class of uncertain switched linear systems with time-delay

研究了一类含有故障执行器的线性不确定切换时滞系统的可靠保成本鲁棒控制问题．当执行器发生“严重失效”——未失效执行器不能镇定原系统时,基于多Lyapunov函数的方法,以线性矩阵不等式(LMIs)的形式给出了状态反馈可靠保成本控制器存在的充分条件,同时对于闭环系统的成本函数进行了优化．最后用仿真结果验证了所设计方法的有效性．

The problem of the reliable guaranteed -cost robust control for a class of uncertain switched linear time-delay systems with actuator failures is addressed in this paper. When actuators suffer from ＂serious failure＂ , the survived actuators can not stabilize the given system. Based on multiple Lyapunov function technique, we derived a sufficient condition for the existence of state feedback reliable guaranteed-cost controller in terms of linear matrix inequalities （LMTs）. The cost function of the closed-loop system is also optimized via quadratic index. Finally, a numerical example illustrates the effectiveness of the proposed approach.