H-/H∞ fault detection filter design for discrete-time Takagi-Sugeno fuzzy system

被引：340
作者：
Chadli, Mohammed [1 ]
Abdo, Ali [2 ]
Ding, Steven X. [2 ]
机构：
[1] Univ Picardie Jules Verne MIS EA 4290, F-80039 Amiens, France
[2] Univ Duisburg Essen, D-47057 Duisburg, Germany
来源：
AUTOMATICA | 2013年 / 49卷 / 07期
关键词：
T-S fuzzy models; Descriptor observer; Disturbance; Fault detection; H-; H-infinity; LML; LMI APPROACH; DETECTION OBSERVER;
D O I：
10.1016/j.automatica.2013.03.014
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this note, a robust fault detection observer is designed for a T-S (Takagi-Sugeno) fuzzy model with sensor faults and unknown bounded disturbances. The method applies the technique of descriptor systems by considering sensor faults as an auxiliary state variable. The idea is to formulate the robust fault detection observer design as an H-/H-infinity problem. Based on nonquadratic Lyapunov functions, a solution of the considered problem is then given via a Linear Matrix Inequality (4(1) formulation. An example is proposed to illustrate the design conditions. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1996 / 2005
页数：10
相关论文
共 29 条
  • [1] Abid M., 2009, 7 IFAC S FAULT DET S
  • [2] Alcorta-García E, 2003, PROCEEDINGS OF THE 2003 IEEE INTERNATIONAL SYMPOSIUM ON INTELLIGENT CONTROL, P673
  • [3] Design of Robust Fault Detection Observer for Takagi-Sugeno Models Using the Descriptor Approach
    Bouattour, Maha
    Chadli, Mohammed
    Chaabane, Mohamed
    El Hajjaji, Ahmed
    [J]. INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2011, 9 (05) : 973 - 979
  • [4] Boyd S., 1994, LINEAR MATRIX INEQUA
  • [5] State and unknown input estimation for discrete time multiple model
    Chadli, M.
    Akhenak, A.
    Ragot, J.
    Maquin, D.
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2009, 346 (06): : 593 - 610
  • [6] RETRACTED: Robust Observer Design for Unknown Inputs Takagi-Sugeno Models (Retracted Article)
    Chadli, Mohammed
    Karimi, Hamid Reza
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2013, 21 (01) : 158 - 164
  • [7] Chen J., 1999, Model-Based Fault Diagnosis for Dynamic Systems
  • [8] Dalton T., 1999, ECC 99 BUD AUG 23 26
  • [9] Ding S. X., 2008, MODEL BASED FAULTS D
  • [10] DING SX, 2003, P 42 IEEE C DEC CONT
123