不确定时滞系统的鲁棒容错控制

Robust fault-tolerant control of uncertain time-delay system

研究了一类线性不确定时滞系统的鲁棒容错控制问题.针对具有状态滞后,且假定状态和控制输入的不确定项均是范数有界的线性系统,通过引入状态反馈和时滞状态反馈,基于Lyapunov稳定性理论和LMI方法,给出了一个此类系统在传感器失效情况下具有鲁棒容错性能的充分条件,并通过求解线性矩阵不等式组得到容错控制器设计结果.最后用算例验证了该设计方法的有效性和可行性.

Robust fault-tolerant control of a kind of linear uncertain time-delay systems was studied. Based on Lyapunov stability theory and linear matrix inequality, a kind of state feedback and time-delay state feedback control law was presented. The sufficient conditions for the closed-loop system to have robust fault-tolerant capability against sensor failures were given. The design result of fault-tolerant controller could be obtained through solving several linear matrix inequalities. A simulation example verified the effectiveness and feasibility of the proposed approach.