时滞系统基于对偶原理的故障诊断  

Fault diagnosis based on duality principle for systems with time-delay

作　　者：唐功友[1] 李娟[1,2] 张勇[1] 

机构地区：[1]中国海洋大学信息科学与工程学院,山东青岛266100 [2]青岛农业大学机电工程学院,山东青岛266109

出　　处：《控制理论与应用》2008年第5期966-969,共4页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60574023;40776051);山东省自然科学基金重点资助项目(Z2000G01).

摘　　要：研究时滞系统中含有执行器故障和传感器故障情况下的故障诊断方法,提出一种基于对偶原理的故障诊断器的设计方法.首先将故障状态转化为增广系统的状态,然后利用对偶原理将基于观测器的故障诊断器的设计问题转化为状态反馈控制器的设计问题.根据不同的要求,分别设计了渐近稳定的故障诊断器和保性能故障诊断器.利用Lyapunov稳定性理论和线性矩阵不等式技术,实现了系统的实时在线故障诊断.仿真结果证明了该方法的可行性和有效性.Fault diagnosis is studied for time-delay systems with actuator faults and sensor faults, and a design scheme of fault diagnoser is presented based on duality principle. The faulty states are transformed into the states of an augmented system, and the design of the observer-based fault diagnoser is transformed into the design of the state feedback controller. According to different requirements, the asymptotically stable fault diagnoser and the performance-guaranteed fault diagnose are designed, respectively. By using the Lyapunov stability theory and linear matrix inequality technology, the fault diagnosis is realized on-line. Simulation results demonstrate the feasibility and the efficiency of the proposed scheme.

关 键 词：时滞系统 故障诊断 对偶原理 线性矩阵不等式 稳定性 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]