一类不确定切换模糊时滞系统的可靠控制

Reliable Control for a Class of Uncertain Switched Fuzzy Time-delay Systems

研究了一类不确定切换模糊时滞系统的可靠控制问题.当执行器"严重失效"而未失效部分不能镇定原系统时,采用多Lyapunov函数方法构造状态反馈可靠控制器,使得闭环系统对于所有允许的执行器失效,在所设计的状态反馈可靠控制器下是渐近稳定的,并以线性矩阵不等式形式给出了使闭环系统渐近稳定的条件.最后,通过仿真结果验证了结论的正确性.

The reliable control of a class of uncertain switched fuzzy time-delay systems is presented. When the actuator is serious failure and the residual part of actuator cannot make original system stable, state feedback reliable controller is built by using multiple Lyapunov function method. Closed- loop system is asymptotic stability under the switched state feedback controller. The asymptotic stability conditions of closed-loop system is given in terms of linear matrix inequality. Finally, a numerical example illustrates the effectiveness of the proposed approach.