Optimal fault detection for a class of discrete-time switched linear systems  

作　　者：Yueyang Li Maiying Zhong 

机构地区：[1]School of Electrical Engineering,University of Jinan [2]Science and Technology on Inertial Laboratory,Beihang University

出　　处：《Journal of Systems Engineering and Electronics》2013年第3期512-518,共7页系统工程与电子技术（英文版）

基　　金：supported by the National Natural Science Foundation of China(61174121;61121003;61203083);the Research Fund for the Doctoral Program of Higher Education of China;the Doctoral Foundation of University of Jinan(XBS1242)

摘　　要：This paper deals with the problem of optimal fault detection filter （FDF） design for a class of discrete-time switched linear systems under arbitrary switching. By using an observer-based FDF as a residual generator, the design of the FDF is formulated into an optimization problem through maximizing the H_/H∞ or H∞/H∞ performance index. With the aid of an operator optimization method, it is shown that a mode-dependent unified optimal solution can be derived by solving a coupled Riccati equation. A numerical example is given to show the effectiveness of the proposed method.This paper deals with the problem of optimal fault detection filter （FDF） design for a class of discrete-time switched linear systems under arbitrary switching. By using an observer-based FDF as a residual generator, the design of the FDF is formulated into an optimization problem through maximizing the H_/H∞ or H∞/H∞ performance index. With the aid of an operator optimization method, it is shown that a mode-dependent unified optimal solution can be derived by solving a coupled Riccati equation. A numerical example is given to show the effectiveness of the proposed method.

关 键 词：fault detection filter （FDF） discrete-time linear switched system OBSERVER coupled Riccati equation. 

分 类 号：TM31[电气工程—电机] TN713[电子电信—电路与系统]