Title
SVD-based complexity reduction to TS fuzzy models
Abstract
One of the typical important criteria to be considered in real-time control applications is the computational complexity of the controllers, observers, and models applied. In this paper, a singular value decomposition (SVD)-based complexity reduction technique is proposed for Takagi Sugeno (TS) fuzzy models. The main motivation is that the TS fuzzy model has exponentially growing computational complexity with the improvement of its approximation property through, as usually practiced, increasing the density of antecedent terms. The reduction technique proposed here is capable of defining the contribution of each local linear model included in the TS fuzzy model, which serves to remove the weakly contributing ones as according to a given threshold. Reducing the number of models leads directly to the computational complexity reduction. This work also includes a number of numerical and application examples
Year
DOI
Venue
2002
10.1109/41.993277
Industrial Electronics, IEEE Transactions
Keywords
Field
DocType
computational complexity,control system analysis,fuzzy set theory,singular value decomposition,SVD-based complexity reduction,TS fuzzy models,Takagi Sugeno fuzzy models,controllers,fuzzy rule base reduction,local linear model,observers,real-time control,singular value decomposition
Neuro-fuzzy,Mathematical optimization,Fuzzy classification,Defuzzification,Control theory,Fuzzy set operations,Fuzzy measure theory,Fuzzy logic,Reduction (complexity),Fuzzy number,Mathematics
Journal
Volume
Issue
ISSN
49
2
0278-0046
Citations 
PageRank 
References 
13
1.23
13
Authors
6
Name
Order
Citations
PageRank
Baranyi, P.134221.73
Yeung Yam249455.37
Annamária R. Várkonyi-Kóczy3275.08
R. J. Patton4444.77
P. Michelberger5131.23
M. Sugiyama6131.23