摘要
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,基于Lyapunov稳定性理论和线性矩阵不等式方法,通过引入状态反馈和带时滞的状态反馈,得出了一个此类系统在对执行器失效或传感器失效两种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。数值算例验证了这种控制器的设计方法的有效性和可行性。
The problem of robust fault-tolerant control for the uncertain time-delay system is studied. The considered system has time-delay in state, and the admissible parameter uncertainties of state and control input are unknown but norm bounded. Based on Lyapunov stability theory and linear matrix inequality （LMI）, a method of robust fault-tolerant control against sensor or actuator failures for uncertain systems is presented via state feedback and time-delay feedback control law. The sufficient conditions for the closed-loop system possessing integrity against sensor or actuator failures are given. The design results of fault-tolerant controller can be involved by solving several linear matrix inequalities. The numerical example shows the effectiveness and feasibility of the proposed approach.
出处
《控制工程》
CSCD
2007年第6期668-672,共5页
Control Engineering of China
基金
甘肃省自然科学基金资助项目(3ZS051-A25-032)
甘肃省教育厅高等学校研究生导师科研基金资助项目(050301)
关键词
鲁棒性
容错控制
时滞系统
时滞状态反馈
线性矩阵不等式
robustness
fault-tolerant control
time-delay system
time-delay state feedback
linear matrix inequality
