New robust and optimal designs for Takagi-Sugeno fuzzy control systems

Author

Tanaka, Kazuo ; Hori, Tsuyoshi ; Wang, Hua O.

Author_Institution

Dept. of Mech. Eng. & Intelligent Syst., Univ. of Electro-Commun., Tokyo, Japan

Volume

1

fYear

1999

fDate

1999

Firstpage

415

Abstract

Presents a robust and optimal fuzzy control. The optimal fuzzy controller is designed by solving the minimization problem that minimizes the upper bound of a given quadratic performance index. Next, robust stability conditions for a class of uncertain fuzzy systems are derived. The robust fuzzy controller is designed so as to maximize the norm of the uncertain blocks in a Takagi-Sugeno fuzzy model. More importantly, the control problem that simultaneously considers both the optimal fuzzy controller design and the robust fuzzy controller design is defined and is efficiently solved via convex optimization techniques based on LMIs

Keywords

control system synthesis; fuzzy control; fuzzy systems; matrix algebra; minimisation; performance index; robust control; Takagi-Sugeno fuzzy control systems; convex optimization techniques; optimal designs; quadratic performance index; robust stability conditions; uncertain fuzzy systems; upper bound minimisation; Design optimization; Fuzzy control; Fuzzy systems; Intelligent systems; Linear systems; Mechanical engineering; Optimal control; Robust control; Takagi-Sugeno model; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Applications, 1999. Proceedings of the 1999 IEEE International Conference on

Conference_Location

Kohala Coast, HI

Print_ISBN

0-7803-5446-X

Type

conf

DOI

10.1109/CCA.1999.806671

Filename

806671