针对一类具有状态时滞的T—s模糊广义系统,通过定义一类时滞相关的Lyapunov函数,利用线性矩阵不等式技术给出了模糊鲁棒集成容错控制器的综合设计方法和存在的充分条件,以区别于现有容错控制研究方向中“完整性”的概念范畴。同时引入等价充要条件放宽其求解的约束性,保证整个闭环系统在执行器和(或)传感器发生故障时仍能保持稳定。最后通过数值算例表明了本方法的可行性。
By defining a delay-dependent Lyapunov function, the synthetical design procedures for a class of T-S fuzzy singular systems with state delay are given and some sufficient conditions for the existence of the robust tolerant controllers with integrity are derived by linear matrix inequalities(LMIs). They are different from the existing concept of "integrity" in the tolerant control research area. Furthermore, the equivalently necessary and sufficient conditions are introduced to relax the constraint in the process of solving LMIs, so that the closed-loop systems are stable even when the actuator and (or) sensor failures occur. Finally, a numerical example shows the feasibility of the proposed method.