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Output stabilization of Takagi–Sugeno fuzzy systems

✍ Scribed by Jun Yoneyama; Masahiro Nishikawa; Hitoshi Katayama; Akira Ichikawa

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
128 KB
Volume
111
Category
Article
ISSN
0165-0114

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✦ Synopsis

In this paper the output stabilization problem of Takagi-Sugeno fuzzy models is considered. First a natural form of observers for such models is given. Su cient conditions for their asymptotic convergence are given which are dual to those for the stability of state feedback fuzzy controllers. We then show that a state feedback controller and an observer always yield a stabilizing output feedback controller provided that the stabilizing property of the control and the asymptotic convergence of the observer are guaranteed by the Lyapunov method using positive deÿnite matrices. In this sense it is shown that the separation principle holds for Takagi-Sugeno fuzzy systems. Two design examples are given to illustrate the theory.

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