针对一类带有传感器故障的模糊时滞系统,提出了一种实现对系统的状态和传感器故障估计的观测器设计方法。在此基础上,给出了模糊容错控制方法及保证模糊控制系统的渐近稳定充分条件。应用广义Lyapunov函数和线性矩阵不等式方法,证明了模糊闭环时滞系统的渐近稳定性。仿真结果进一步验证了所提出的方法和条件的有效性。
A fuzzy observer design approach is presented for fuzzy time-delay systems with sensor faults. A novel state and sensor fault observer is proposed to estimate system states and sensor faults simultaneously. On this basis, the fuzzy fault-tolerant control approach and the sufficient conditions of ensuring the stability of the fuzzy systems are given. The stability of the fuzzy closed-loop time-delay systems is proved by using generalized Lyapunov function theory combining with linear matrix inequalities (LMIs). Simulation results demonstrate the effectiveness of the proposed approach and conditions.