Title
Fault Detection for T–S Fuzzy Systems With Unknown Membership Functions
Abstract
This paper is concerned with the fault detection (FD) problem for Takagi–Sugeno (T–S) fuzzy systems with unknown membership functions. If the membership functions are unknown, the linear FD filter designs with fixed gains have been considered in the literature. To reduce the conservatism of the existing results, a switching mechanism that depends on the lower and upper bounds of the unknown membership functions is provided to construct an FD filter with varying gains. It is shown that the switching-type FD filter with varying gains can achieve a better FD performance than the linear FD filter with fixed gains. In addition, based on some time-domain inequalities, a novel weighting matrix design approach is introduced to transform the fault sensitivity specification into an $H_{\infty }$ constraint. Finally, two examples are given to show the advantages of the proposed FD method.
Year
DOI
Venue
2014
10.1109/TFUZZ.2013.2249519
IEEE Transactions on Fuzzy Systems
Keywords
Field
DocType
fault detection,h∞ constraint,linear fd filter designs,t-s fuzzy systems,control system synthesis,matrix algebra,takagi-sugeno (t-s) fuzzy systems,fault tolerant control,fault sensitivity specification,weighting matrix design approach,fault diagnosis,switching mechanism,h∞ control,fixed gains,fuzzy control,linear systems,switching-type filter,fault detection (fd),unknown membership functions,takagi–sugeno (t–s) fuzzy systems,fd problem
Weighting,Linear system,Matrix (mathematics),Control theory,Matrix algebra,Fault detection and isolation,Fuzzy control system,Mathematics
Journal
Volume
Issue
ISSN
22
1
1063-6706
Citations 
PageRank 
References 
19
0.68
13
Authors
2
Name
Order
Citations
PageRank
Xiao-Jian Li126413.82
Guang-Hong Yang23150212.39