一类不确定非线性时滞系统的保成本容错控制

Guaranteed Cost Fault Tolerant Control for a Class of Uncertain Nonlinear Time-delay Systems

基于T-S模糊模型,研究了一类不确定非线性时滞系统在执行器故障时的保成本容错控制问题。应用线性矩阵不等式导出了状态反馈保成本控制器存在的充分条件,保证了对所有允许的不确定性,执行器故障时闭环系统渐近稳定,且对于一个给定的二次型成本函数,闭环成本值有界。仿真实例验证了该方法的有效性。

Based on T-S fuzzy model, the problems of guaranteed cost fault tolerant control for a class of uncertain nonlinear time-delay systems with actuator failures are studied. A sufficient condition for the existence of state feedback guaranteed cost fault controller is given in terms of the liner matrix inequality （LMI）. All allowable uncertain systems are guaranteed to be stable. Closed-loop system with actuator failures is of asymptotic stability. For a given quadratic cost function, the cost is bounded in a range. A simulation example shows the effectiveness of the design method.