A method to construct P-type Lyapunov function of model-based fuzzy system

Author

Shaoxian, Tang ; Zixing, Cai

Author_Institution

Auto. Dept., Central South Univ. of Technol., Changsha, China

Volume

1

fYear

1997

fDate

28-31 Oct 1997

Firstpage

291

Abstract

In this paper, the stability problem of a model-based fuzzy system put forward by Tanake and Sugeno (1992) is discussed. By means of transforming it into a contracting problem of convexes V_a, some difficulties of judging and constructing the Lyapunov function are overcome. In addition, an auxiliary method to estimate convexes is established, which contributes a lot to the research. From the research paper, two important results are derived. The first is that whether a model-based fuzzy system exists, a P-type Lyapunov function can be determined by the algorithm. The latter is that if it has a P-type Lyapunov function, one of them can be constructed by the algorithm. Furthermore, the results can also contribute to local linearization of nonlinear systems

Keywords

Lyapunov methods; fuzzy systems; linearisation techniques; nonlinear control systems; stability; P-type Lyapunov function; contracting problem; convex; genetic algorithm; local linearization; model-based fuzzy system; nonlinear systems; stability problem; Artificial intelligence; Control system synthesis; Control systems; Equations; Forward contracts; Fuzzy systems; Genetic algorithms; Linear systems; Lyapunov method; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Processing Systems, 1997. ICIPS '97. 1997 IEEE International Conference on

Conference_Location

Beijing

Print_ISBN

0-7803-4253-4

Type

conf

DOI

10.1109/ICIPS.1997.672784

Filename

672784