Fuzzy control based on quadratic performance function-a linear matrix inequality approach

Author

Tanaka, Kazuo ; Taniguchi, Tadanari ; Wang, Hua O.

Author_Institution

Dept. of Mech. & Control Eng., Univ. of Electro-Commun., Chofu, Japan

Volume

3

fYear

1998

fDate

1998

Firstpage

2914

Abstract

Presents an LMI approach to optimal fuzzy control based on a quadratic performance function. First, stability conditions are presented by relaxing the previous stability results. The relaxed stability conditions are represented in terms of LMIs. The optimal fuzzy controller design utilizing the relaxed stability conditions is proposed. The optimal fuzzy controller is designed by solving the minimization problem that minimizes the upper bound of a given quadratic performance function. Finally, a design example for the well-known nonlinear control benchmark problem, the TORA system, demonstrates the utility of the optimal fuzzy control based on a quadratic performance function

Keywords

control system synthesis; fuzzy control; matrix algebra; nonlinear control systems; optimal control; stability; TORA system; linear matrix inequality approach; nonlinear control benchmark problem; optimal fuzzy control; quadratic performance function; stability conditions; Control systems; Fuzzy control; Fuzzy systems; Input variables; Linear matrix inequalities; Nonlinear control systems; Optimal control; Stability; Takagi-Sugeno model; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1998. Proceedings of the 37th IEEE Conference on

Conference_Location

Tampa, FL

ISSN

0191-2216

Print_ISBN

0-7803-4394-8

Type

conf

DOI

10.1109/CDC.1998.757921

Filename

757921