Fuzzy Logic Controller for the LiÃ©nard System

Author

Tomescu, Marius L.

Author_Institution

Comput. Sci. Fac., "Aurel Vlaicu" Univ., Arad

fYear

2007

fDate

Yearly 17 2007-May 18 2007

Firstpage

129

Lastpage

133

Abstract

In this paper, fuzzy modeling techniques based on Takagi-Sugeno (T-S) fuzzy model are proposed to control the generalized Lienard system. The stability analysis of this fuzzy control model is performed using Lyapunov theorem. This paper proves that if the derivative of Lyapunov function is negative semi-defined for each fuzzy rule, then the controlled Lienard system is asymptotic stable in the Lyapunov sense. The stability theorem present in this paper assures sufficient conditions for the stability of the Lienard system controlled by fuzzy logic controller (FLC). Sections 5 and 6 contains an illustrative example that describes an application of the method of the stability analysis.

Keywords

Lyapunov methods; asymptotic stability; fuzzy control; invariance; nonlinear control systems; Lyapunov theorem; Takagi-Sugeno fuzzy model; asymptotic stability; fuzzy logic controller; fuzzy modeling techniques; fuzzy rule; generalized Lienard system; invariance principle; nonlinear system; stability analysis; Automatic control; Control systems; Fuzzy control; Fuzzy logic; Fuzzy systems; Lyapunov method; Nonlinear control systems; Nonlinear equations; Stability analysis; Takagi-Sugeno model; Takagi-Sugeno fuzzy rule; fuzzy logic controller; invariance principle; nonlinear system;

fLanguage

English

Publisher

ieee

Conference_Titel

Applied Computational Intelligence and Informatics, 2007. SACI '07. 4th International Symposium on

Conference_Location

Timisoara

Print_ISBN

1-4244-1234-X

Type

conf

DOI

10.1109/SACI.2007.375497

Filename

4262499