模态依赖时滞不确定Markov跳变系统的鲁棒H∞容错控制

针对一类具有模态依赖时变输入时滞和状态时滞的不确定奇异Markov跳变系统,在执行器发生故障的情况下,研究了其鲁棒H_∞容错控制问题. 基于积分不等式的方法,通过构造Lyapunov-Krasovskii泛函,给出了此类系统存在无记忆状态反馈鲁棒容错控制律的充分条件,并设计了鲁棒H_∞容错控制器,使得闭环系统稳定且满足一定的H_∞干扰抑制水平.最后,仿真算例验证了该方法的有效性.

Robust H∞ Fault-tolerant Controlof Markov jump system with mode-dependent time-delay uncertainty

Aimed at a class of singular Markov jump system with mode-dependent time-varying input time delay and state delay, its robust H_∞ fault-tolerant control problem was studied when actuator failure took place. Based on integral-inequality method, the sufficient condition of existence of robust H_∞ fault-tolerant control regularity ofmemory-less state feedback in such system was given by means of constructing Lyapunov-Krasovskii functional, and the robust H_∞ fault-tolerant controller was designed to make the closed-loop system stable and satisfactory to certain H_∞ interference inhibitation level. Finally, the effectiveness of the proposed method was verified by a simulation example.