Stability issues on Takagi-Sugeno fuzzy model-parametric approach

The main objective of this research is to provide a systematic stability analysis technique for fuzzy systems using well-established results from robust stability of a family of polynomials. The model-based Takagi-Sugeno (1985) fuzzy control system is considered and shown to have a dependent coeffic...

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Bibliographic Details
Published in:IEEE transactions on fuzzy systems 1999-10, Vol.7 (5), p.597-607
Main Authors: Lo, Ji-Chang, Chen, Yu-Min
Format: Article
Language:English
Subjects:
Fuzzy
Fuzzy control
Fuzzy logic
Fuzzy set theory
Fuzzy systems
Mathematical analysis
Polynomials
Robust stability
Sliding mode control
Stability
Stability analysis
Stability tests
Sufficient conditions
Takagi-Sugeno model
Testing
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Summary:The main objective of this research is to provide a systematic stability analysis technique for fuzzy systems using well-established results from robust stability of a family of polynomials. The model-based Takagi-Sugeno (1985) fuzzy control system is considered and shown to have a dependent coefficient structure involving firing strengths. Two Kharitonov regions via overbounding are established to facilitate the extreme results for stability test in the space of polynomials as well as the complex plane. The criterion obtained is a sufficient condition for a fuzzy logic controller. Three nonlinear examples are demonstrated to show that the systematic approach proposed here can be used to solve fuzzy stability problems. Fuzzy users concerned over stability issues may find these analytic tools useful.
ISSN:1063-6706
1941-0034
DOI:10.1109/91.797982