关键词: 故障诊断, 故障辨识, 非线性系统, 离散动态系统, 线性矩阵不等式, 鲁棒性, 灵敏度

Abstract:

A new method of robust fault diagnosis for a class of nonlinear discrete dynamic systems with uncertainties is proposed. It can not only detect faults, but also isolate and identify faults. Firstly, it converts the problem of fault identification into a min max problem by constructing an auxiliary system, and designs the gain matrix in the auxiliary system appropriately such that the state difference equation and the output difference equation of the auxiliary system and the systems to be diagnosed are both stable, then converts the min max problem into a LMI problem, and finally realizes the fault diagnosis by solving the LMI problem. The analyses for robustness, sensitivity and error of fault identification are also considered. Simulation indicates its effectiveness.

Key words: fault diagnosis, fault identification, nonlinear systems, discrete dynamic sysuems, Linear Matsix Inequality (LMI), robustness, sensitivity