Fuzzy control system design via LMIs

Author

Tanaka, Kazuo ; Ikeda, Takayuki ; Wang, Hua O.

Author_Institution

Dept. of Human & Mech. Syst. Eng., Kanazawa Univ., Japan

Volume

5

fYear

1997

fDate

4-6 Jun 1997

Firstpage

2873

Abstract

This paper presents new stability conditions satisfying decay rate for both continuous and discrete fuzzy control systems. Linear matrix inequality (LMI) based designs for decay rate are also considered using the concept of parallel distributed compensation (PDC). To design fuzzy control systems, nonlinear systems are represented by Takagi-Sugeno fuzzy models. The PDC is employed to design fuzzy controllers from the Takagi-Sugeno fuzzy models. The stability analysis discussed here is reduced to a problem of finding a common Lyapunov function for a set of LMIs. Convex optimization techniques involving LMIs are utilized to find a common Lyapunov function and stable feedback gains satisfying decay rate. A simple example demonstrates the utility of the LMI-based designs proposed in this paper

Keywords

Lyapunov methods; compensation; continuous time systems; control system synthesis; convergence; discrete time systems; fuzzy control; matrix algebra; nonlinear systems; stability; Lyapunov function; Takagi-Sugeno models; continuous time systems; convex optimization; decay rate; discrete time systems; feedback; fuzzy control; linear matrix inequality; nonlinear systems; parallel distributed compensation; stability; Feedback; Fuzzy control; Fuzzy systems; Input variables; Linear matrix inequalities; Lyapunov method; Mechanical systems; Nonlinear systems; Stability analysis; Takagi-Sugeno model;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1997. Proceedings of the 1997

Conference_Location

Albuquerque, NM

ISSN

0743-1619

Print_ISBN

0-7803-3832-4

Type

conf

DOI

10.1109/ACC.1997.611982

Filename

611982