时滞依赖不确定状态时滞系统鲁棒故障诊断  

Delay-Dependent Robust Fault Detection for Uncertain Time-Delay Systems

作　　者：白雷石[1] 何黎明[1] 田作华[1] 施颂椒[1] 

机构地区：[1]上海交通大学自动化系,上海200240

出　　处：《上海交通大学学报》2006年第11期1924-1928,1934,共6页Journal of Shanghai Jiaotong University

摘　　要：针对一类具有未知输入和模型不确定性的动态时滞系统,基于H∞滤波器技术,提出了一种鲁棒故障诊断方法.首先引入一个参考模型,形成广义残差系统,然后引入一个新的具有时滞依赖的有界实引理;利用对偶原理,针对对偶系统,借助线性矩阵不等式(LMI)技术,给出了基于状态观测器的时滞依赖鲁棒故障诊断滤波器(RFDF)设计方案,推导出具有时滞依赖解存在的条件以及观测器增益矩阵的求解算法.仿真算例验证了该方法的有效性.A robust fault detection filter （RFDF） scheme was proposed for a class of time-delay systems with both unknown inputs and modeling uncertainties. The fault detection filter is designed by using H∞ control theory. The reference model is introduced to formulate the generalized residual. The bounded real lemma, dependent on the time-delay, is then presented in terms of linear matrix inequalities （LMI） by tak ing a new Lyapunov-Krasovsii function. By using the dual principle and LMI approach, the design of ob server-based RFDF system is proposed. The existence conditions and the solution of observer gain matrix, which are dependent on the size of the delay, are also given and proved. Finally, an example was given to demonstrate the effectiveness of the proposed approach.

关 键 词：不确定时滞系统 鲁棒故障诊断 H∞滤波器 时滞依赖 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]