Title | ||
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Model construction, rule reduction, and robust compensation for generalized form of Takagi-Sugeno fuzzy systems |
Abstract | ||
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This paper presents a systematic procedure of fuzzy control system design that consists of fuzzy model construction, rule reduction, and robust compensation for nonlinear systems. The model construction part replaces the nonlinear dynamics of a system with a generalized form of Takagi-Sugeno fuzzy systems, which is newly developed by us. The generalized form has a decomposed structure for each element of Ai and Bi matrices in consequent parts. The key feature of this structure is that it is suitable for constructing IF-THEN rules and reducing the number of IF-THEN rules. The rule reduction part provides a successive procedure to reduce the number of IF-THEN rules. Furthermore, we convert the reduction error between reduced fuzzy models and a system to model uncertainties of reduced fuzzy models. The robust compensation part achieves the decay rate controller design guaranteeing robust stability for the model uncertainties. Finally, two examples demonstrate the utility of the systematic procedure developed |
Year | DOI | Venue |
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2001 | 10.1109/91.940966 | IEEE T. Fuzzy Systems |
Keywords | Field | DocType |
if-then rule,rule reduction,takagi-sugeno fuzzy system,fuzzy control system design,robust compensation,generalized form,reduced fuzzy model,model construction part,consequent part,fuzzy model construction,systematic procedure,model uncertainty,nonlinear dynamics,fuzzy systems,decay rate,stability,robust control,robustness,fuzzy control,nonlinear system,nonlinear systems,system design,fuzzy system,uncertainty,indexing terms | Mathematical optimization,Defuzzification,Fuzzy set operations,Control theory,Fuzzy logic,Robustness (computer science),Fuzzy control system,Robust control,Fuzzy number,Fuzzy associative matrix,Mathematics | Journal |
Volume | Issue | ISSN |
9 | 4 | 1063-6706 |
Citations | PageRank | References |
116 | 5.34 | 9 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
T. Taniguchi | 1 | 223 | 11.16 |
K. Tanaka | 2 | 2967 | 377.99 |
Hiroshi Ohtake | 3 | 595 | 39.22 |
Hua O Wang | 4 | 2319 | 209.28 |