Optimal fault detection for linear discrete time-varying systems

被引：135
|
作者：
Zhong, Maiying [1 ]
Ding, Steven X. [2 ]
Ding, Eve L. [3 ]
机构：
[1] Beihang Univ, Dept Inertia Technol & Nav Guidance Instrument, Beijing 100191, Peoples R China
[2] Univ Duisburg Essen, Inst Automat Control & Complex Syst, D-47057 Duisburg, Germany
[3] Univ Appl Sci Gelsenkirchen, D-45877 Gelsenkirchen, Germany
来源：
AUTOMATICA | 2010年 / 46卷 / 08期
关键词：
Linear discrete time-varying system; Fault detection; Observer; Post-filter; Riccati equation; LMI APPROACH; PERIODIC-SYSTEMS; DETECTION FILTER; LTI SYSTEMS; DESIGN;
D O I：
10.1016/j.automatica.2010.05.022
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper deals with the problem of observer-based fault detection for linear discrete time-varying (LDTV) systems. A problem formulation is first proposed to address the optimization of the fault detection filter (FDF) design, which is expressed in terms of maximizing a finite horizon H(infinity)/H(infinity) or H(-)/H(infinity) performance index. This formulation can be applied to FDF design of LDTV systems subject to l(2)-norm bounded unknown inputs or stochastic noise sequences. It is shown that a unified optimal solution to the FDF can be obtained by solving the discrete time Riccati equation and the optimal FDF is not unique. A numerical example is given to illustrate the proposed method. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1395 / 1400
页数：6
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