Model construction, rule reduction, and robust compensation for generalized form of Takagi-Sugeno fuzzy systems

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 s...

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Bibliographic Details
Published in:IEEE transactions on fuzzy systems 2001-08, Vol.9 (4), p.525-538
Main Authors: Taniguchi, T., Tanaka, K., Ohtake, H., Wang, H.O.
Format: Article
Language:English
Subjects:
Compensation
Construction
Dynamical systems
Fuzzy
Fuzzy control
Fuzzy logic
Fuzzy set theory
Fuzzy systems
Matrix converters
Nonlinear dynamical systems
Nonlinear dynamics
Nonlinear systems
Reduction
Robust control
Robust stability
Robustness
Studies
Takagi-Sugeno model
Uncertainty
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Summary: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 A/sub i/ and B/sub i/ 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.
ISSN:1063-6706
1941-0034
DOI:10.1109/91.940966