基于LMI的H_/H∞故障检测观测器设计

Journal of Systems Engineering and Electronics ›› 2012, Vol. 34 ›› Issue (8): 1675-1679.

基于LMI的H_/H∞故障检测观测器设计

吴丽娜1，张迎春1，2，贾庆贤1，陈雪芹1

1. 哈尔滨工业大学卫星技术研究所，黑龙江哈尔滨 150001；2. 深圳航天东方红海特卫星有限公司，广东深圳 518057

出版日期:2012-08-27 发布日期:2010-01-03

LMI approach to H_/H∞fault detection observer design

WU Li-na1，ZHANG Ying-chun1，2，JIA Qing-xian1，CHEN Xue-qin1

1. Research Center of Satellite Technology, Harbin Institute of Technology, Harbin 150001, China; 2. Shenzhen Aerospace Dongfanghong HIT Satellite Company Ltd, Shenzhen 518057, China

Online:2012-08-27 Published:2010-01-03

摘要/Abstract

摘要：

考虑未知输入信号的影响，研究了线性系统鲁棒故障检测观测器的设计问题。利用描述残差对故障灵敏度的H_指数和表示残差对未知输入鲁棒性的H∞范数，将鲁棒故障检测观测器的设计问题描述为基于H_/H∞的优化设计问题。利用线性矩阵不等式(linear matrix inequality, LMI)理论，给出故障检测观测器的存在条件，提出一种新的迭代LMI算法求解最优观测器增益。仿真结果表明，利用这种方法设计的故障检测观测器对故障的灵敏度高，对未知输入的鲁棒性强。

Abstract:

Considering the effect of unknown input signals, the problem of a robust fault detection observer design for linear uncertain systems is investigated. The H_index and the H∞norm, which measure the sensitivity of the residual to the fault and the robustness of the effect of the unknown input on the residual, respectively, are used to describe the problem of this observer design as optimization problems. The existence conditions of such a fault detection observer are given in terms of matrix inequalities. The optimization observer gain is obtained by a new iterative linear matrix inequality (LMI) algorithm. The given example demonstrates that the designed fault detection observer has high sensitivity to the fault and strong robustness to the unknown input.

吴丽娜，张迎春，贾庆贤，陈雪芹. 基于LMI的H_/H∞故障检测观测器设计[J]. Journal of Systems Engineering and Electronics, 2012, 34(8): 1675-1679.

WU Li-na，ZHANG Ying-chun，JIA Qing-xian，CHEN Xue-qin. LMI approach to H_/H∞fault detection observer design[J]. Journal of Systems Engineering and Electronics, 2012, 34(8): 1675-1679.