基于LMI的非线性差分-代数系统的鲁棒故障诊断

Robust Fault Diagnosis for Nonlinear Difference-Algebraic Systems Based on Linear Matrix Inequality

针对非线性不确定差分一代数系统(DAS),提出了一种基于线性矩阵不等式(LMI)的故障诊断方法.该方法首先利用已知的DAS标称模型构造一个由差分方程和代数方程组成的辅助系统,然后基于状态差值与差分方程中的故障以及约束输出差值与代数方程中的故障之间的关系,将故障辨识问题转化为参数估计问题,最后利用LMI方法对故障进行在线辨识.仿真结果表明了该方法的有效性.

A new robust fault diagnosis method based on linear matrix inequality ( LMI) for non-linear difference-algebraic systems (DAS) with uncertainties is proposed. Based on the known nominal model of DAS, an auxiliary system consisting of a difference e-quation and an algebraic equation is firstly constructed. Then, based on the relationship between the state deviation and the faults in the difference equation and the relationship between the algebraic variable deviation and the faults in algebraic equation, the problem of fault identification is converted into the problem of parameter estimation. Finally fault identification is realized using LMI method. Simulation results show the effectiveness of the presented method.