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

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.