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

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 robu...

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Bibliographic Details
Published inAutomatica (Oxford) Vol. 49; no. 7; pp. 1996 - 2005
Main Authors Chadli, Mohammed, Abdo, Ali, Ding, Steven X.
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier Ltd 01.07.2013
Elsevier
Subjects
Applied sciences
Computer science; control theory; systems
Control system analysis
Control theory. Systems
Descriptor observer
Disturbance
Exact sciences and technology
Fault detection
formula omitted
Modelling and identification
T–S fuzzy models
H
LMI
Fault detection
T–S fuzzy models
Descriptor observer
Disturbance
Disturbance rejection
Descriptor system
LMl
Modeling
Robust control
Fuzzy logic
Discrete filter
Observer
Discrete time
T―S fuzzy models
Linear matrix inequality
System identification
Auxiliary variable
Fault diagnostic
Measurement error
Defect detection
Lyapunov function
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ISSN0005-1098
1873-2836
DOI10.1016/j.automatica.2013.03.014

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Summary: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∞ problem. Based on nonquadratic Lyapunov functions, a solution of the considered problem is then given via a Linear Matrix Inequality (LMI) formulation. An example is proposed to illustrate the design conditions.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2013.03.014