具有状态和控制滞后离散系统的容错保成本控制

基于T-S模糊模型,通过无记忆状态反馈研究了一类带有状态和控制滞后的不确定离散时滞系统容错保成本控制问题。应用线性矩阵不等式(LM I)给出系统存在执行器故障时,模糊闭环系统渐近稳定的充分条件,该条件保证了对所有允许的不确定性闭环系统渐近稳定,而且对于给定的二次型成本函数,能保证闭环成本不超过某个界。算例表明该方法是有效的。

Robust fault-tolerant guaranteed cost control for a class of uncertain discrete systems with state and control delays

A fault-tolerant guaranteed cost control problem using memoryless state feedback controllers was developed based on the T-S fuzzy model for a class of uncertain discrete time-delay systems with norm-bounded parametric uncertainties.A sufficient condition for the asymptotic stability of the fuzzy closed-loop system was given in terms of the linear matrix inequality(LMI).All allowable uncertain closed-loop systems are guaranteed to be stable,and for a given quadratic cost function,the cost is bounded in a range.An example shows the effectiveness of the proposed method.