针对一类带有执行器故障的T-S模糊互联的容错跟踪控制问题,提出了一种模糊自适应容错控制器。该控制器由一个模糊控制器和一个自适应控制器组成,模糊控制器能够保证系统没有故障时闭环系统渐近稳定,而自适应控制器能够补偿系统的执行器故障。所提出的容错控制方法不但使得闭环系统渐近稳定、系统的输出渐近跟踪给定的参考信号,并获得H∞控制性能。最后应用Lyapunov函数和线性矩阵不等式的方法,给出和证明了带有执行器故障的T-S模糊互联系统的稳定的充分条件。仿真结果进一步验证了所提出方法的有效性。
This paper considers the tolerant-fault control problem for a class of interconnected T-S fuzzy systems with actuator faults. In the design, by combining fuzzy control design with adaptive control design, a new adaptive fuzzy tolerant-fault control scheme is developed. Since the proposed controller is composed of a normal controller and an adaptive controller, it can guarantee the stability of the closed-loop system, and the states of the fault mode asymptotically track those of the normal mode. Moreover, the better control performances are obtained. The stabilization sufficient conditions for interconnected T-S fuzzy systems with actuator faults are given and proved based on the Lyapunov function theory and linear matrix inequalities (LMIs). Finally, simulation results are provided to demonstrate the effectiveness of the proposed approach.