Title
Fault Detection for T-S Fuzzy Discrete Systems in Finite-Frequency Domain.
Abstract
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-Yakubovi [Formula: see text]-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.
Year
DOI
Venue
2011
10.1109/TSMCB.2010.2099653
IEEE Transactions on Systems, Man, and Cybernetics, Part B
Keywords
DocType
Volume
optimisation,generalized kalman-yakubovic-popov lemma,standard numerical software,fault detection,two-objective optimization algorithm,t-s fuzzy discrete systems,design method,t-s fuzzy model,disturbance robustness,kalman–yakubovi$breve{c}$–popov (kyp) lemma,takagi–sugeno (t–s) fuzzy model,fuzzy systems,finite-frequency domain,fuzzy fault detection filter,finite-frequency performance index,fault diagnosis,linear matrix inequality (lmi),linear matrix inequalities,certain finite-frequency domain interval,fuzzy discrete systems,local linear system model,fault sensitivity,fuzzy discrete system,filtering error generator,fuzzy fault detection filter system,takagi-sugeno fuzzy discrete systems,discrete systems,middle frequency domain,frequency domain analysis,performance indicator,linear matrix inequality,discrete system,symmetric matrices,numerical software,frequency domain,fuzzy system,linear system,indexation
Journal
41
Issue
ISSN
Citations 
4
1941-0492
54
PageRank 
References 
Authors
1.74
26
3
Name
Order
Citations
PageRank
Hongjiu Yang170251.23
Yuanqing Xia23132232.57
Bo Liu31236.65