一类基于模糊T-S模型的有执行器故障的自适应容错跟踪控制

Adaptive Fault-tolerant Tracking Control for a Class of Fuzzy T-S Systems with Actuator Faults

研究了一类带有执行器故障的T-S模糊系统的容错跟踪控制问题。设计中,把模糊控制与自适应控制相结合,提出了一种新的容错控制方法。该控制器由正常控制器和一个自适应控制器组成,能够使得闭环系统稳定,故障状态模型渐近跟踪正常模型,并获得优化的控制性能。应用Lyapunov函数和线性矩阵不等式方法,给出和证明了带有执行器故障的T-S模糊系统的稳定的充分条件。仿真结果进一步验证了所提出的方法的有效性。

This paper considers the tolerant-fault control problem for a class of 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 T-S fuzzy systems with actuator faults are given and proved based on the Lyapunov function theoryand linear matrix inequalities （LMIs）. Finally, simulation results are provided to demonstrate the effectiveness of the proposed approach.