Polytopic TSK fuzzy systems: analysis and synthesis

Author

Filev, Dimitar P.

Author_Institution

Ford Motor Co., Detroit, MI, USA

Volume

1

fYear

1996

fDate

8-11 Sep 1996

Firstpage

687

Abstract

In this paper we discuss the problem of analysis and synthesis of Takagi-Sugeno-Kang (TSK) systems by using a polytopic representation of the TSK fuzzy model. This allows us to derive the necessary and sufficient conditions for synthesis of polytopic TSK compensators. The closed loop TSK system under a polytopic TSK compensator is characterized with a stable characteristic polynomial that is not dependent on the firing levels of the rules. Procedures for calculation of the compensators are also presented

Keywords

closed loop systems; compensation; control system analysis; control system synthesis; fuzzy control; fuzzy systems; polynomials; robust control; state-space methods; TSK fuzzy model; TSK fuzzy systems; Takagi-Sugeno-Kang systems; characteristic polynomial; closed loop systems; necessary condition; polytopic TSK compensators; polytopic representation; stabilization; state space method; sufficient conditions; Control system synthesis; Electronic mail; Fuzzy sets; Fuzzy systems; Polynomials; Stability; State feedback; State-space methods; Sufficient conditions; Takagi-Sugeno-Kang model;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 1996., Proceedings of the Fifth IEEE International Conference on

Conference_Location

New Orleans, LA

Print_ISBN

0-7803-3645-3

Type

conf

DOI

10.1109/FUZZY.1996.551821

Filename

551821