Fault Detection for T-S Fuzzy Discrete Systems in Finite-Frequency Domain

This paper investigates the problem of fault detection for Takagi-Sugeno (T-S) fuzzy discrete systems in finite-frequency domain. By means of the T-S fuzzy model, both a fuzzy fault detection filter system and the dynamics of filtering error generator are constructed. Two finite-frequency performanc...

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Bibliographic Details
Published in:IEEE transactions on cybernetics 2011-08, Vol.41 (4), p.911-920
Main Authors: Yang, Hongjiu, Xia, Yuanqing, Liu, Bo
Format: Article
Language:English
Subjects:
Discrete systems
Dynamical systems
Dynamics
Fault detection
finite-frequency domain
Frequency domain analysis
Fuzzy
Fuzzy logic
Fuzzy set theory
Fuzzy systems
Indexes
Kalman-Yakubovi breve{c} -Popov (KYP) Lemma
linear matrix inequality (LMI)
Mathematical models
Observers
Optimization algorithms
Robustness
Studies
Symmetric matrices
Takagi-Sugeno (T-S) fuzzy model
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Summary:This paper investigates the problem of fault detection for Takagi-Sugeno (T-S) fuzzy discrete systems in finite-frequency domain. By means of the T-S fuzzy model, both a fuzzy fault detection filter system and the dynamics of filtering error generator are constructed. Two finite-frequency performance indices are introduced to measure fault sensitivity and disturbance robustness. Faults are considered in a middle frequency domain, while disturbances are considered in another certain finite-frequency domain interval. By using the generalized Kalman-Yakubovic-Popov Lemma in a local linear system model, the design methods are presented in terms of solutions to a set of linear matrix inequalities, which can be readily solved via standard numerical software. The design problem is formulated as a two-objective optimization algorithm. A numerical example is given to illustrate the effectiveness and potential of the developed techniques.
ISSN:1083-4419
2168-2267
1941-0492
2168-2275
DOI:10.1109/TSMCB.2010.2099653