一类非线性不确定时滞系统的鲁棒容错控制

基于Lyapunov稳定性理论,针对一类具有非线性不确定的时滞系统,提出了鲁棒容错控制器的设计方法.就传感器失效故障和执行器失效故障2种情况,在非线性不确定性满足增益有界条件下,通过求解线性矩阵不等式(LMI)分别给出了在正常情况下和有失效故障情况下闭环系统都能渐近稳定的充分条件和控制器设计方法.该方法利用LMI可方便地得到容错控制器设计结果.设计实例和仿真结果验证了该方法的有效性.

Robust fault tolerant control for a class of nonlinear time-delay systems with uncertainty

For time-delay systems with a class of systems with nonlinear uncertainty,the design method for robust fault tolerant controller is presented based on Lyapunov stability theory.On condition that nonlinear uncertainty functions are gain-bounded,the sufficient conditions of approximately being stable for the closed system under normal case and the sensor fault or actuator fault case are given respectively,and the design method of the controller is proposed.This method can obtain the designed result of robust fault tolerant controller by solving the linear matrix inequality(LMI).An illustrative example and some simulation results have verified the effectiveness of the proposed method.