Zonotopic fault detection observer design for Takagi-Sugeno fuzzy systems

被引:14
作者
Li, Jitao [1 ]
Wang, Zhenhua [1 ]
Shen, Yi [1 ]
Wang, Ye [2 ]
机构
[1] Harbin Inst Technol, Sch Astronaut, Harbin 150001, Heilongjiang, Peoples R China
[2] Univ Politecn Catalunya BarcelonaTec UPC, UPC, CSIC, Inst Robot & Informat Ind, Barcelona, Spain
基金
中国国家自然科学基金;
关键词
Fault detection; Takagi-Sugeno fuzzy systems; finite-frequency domain; observer design; zonotopes; FINITE FREQUENCY-DOMAIN; GUARANTEED STATE ESTIMATION; NONLINEAR-SYSTEMS; LPV SYSTEMS; STOCHASTIC-SYSTEMS; TOLERANT CONTROL; FILTER DESIGN; INEQUALITIES; DIAGNOSIS;
D O I
10.1080/00207721.2018.1535101
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 considers zonotopic fault detection observer design in the finite-frequency domain for discrete-time Takagi-Sugeno fuzzy systems with unknown but bounded disturbances and measurement noise. We present a novel fault detection observer structure, which is more general than the commonly used Luenberger form. To make the generated residual sensitive to faults and robust against disturbances, we develop a finite-frequency fault detection observer based on generalised Kalman-Yakubovich-Popov lemma and P-radius criterion. The design conditions are expressed in terms of linear matrix inequalities. The major merit of the proposed method is that residual evaluation can be easily implemented via zonotopic approach. Numerical examples are conducted to demonstrate the proposed method.
引用
收藏
页码:3216 / 3230
页数:15
相关论文
共 44 条
[1]   Guaranteed state estimation by zonotopes [J].
Alamo, T ;
Bravo, JM ;
Camacho, EF .
AUTOMATICA, 2005, 41 (06) :1035-1043
[2]  
[Anonymous], 2013, ZONOTOPES, DOI DOI 10.1002/9781118761588.CH2
[3]  
[Anonymous], 2012, The international series on Asian studies in computer and information science
[4]  
Basseville M, 1993, DETECTION ABRUPT CHA
[5]  
Boyd S., 1994, SIAM STUDIES APPL MA
[6]   H-/H∞ fault detection filter design for discrete-time Takagi-Sugeno fuzzy system [J].
Chadli, Mohammed ;
Abdo, Ali ;
Ding, Steven X. .
AUTOMATICA, 2013, 49 (07) :1996-2005
[7]   RETRACTED: Robust Observer Design for Unknown Inputs Takagi-Sugeno Models (Retracted Article) [J].
Chadli, Mohammed ;
Karimi, Hamid Reza .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2013, 21 (01) :158-164
[8]  
Chang WJ, 2014, INT J FUZZY SYST, V16, P338
[9]   A fault detection observer design for LPV systems in finite frequency domain [J].
Chen, Jianliang ;
Cao, Yong-Yan ;
Zhang, Weidong .
INTERNATIONAL JOURNAL OF CONTROL, 2015, 88 (03) :571-584
[10]   Fuzzy Fault Detection Filter Design for T-S Fuzzy Systems in the Finite-Frequency Domain [J].
Chibani, Ali ;
Chadli, Mohammed ;
Shi, Peng ;
Braiek, Naceur Benhadj .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2017, 25 (05) :1051-1061