A projection approach to stability analysis and design of fuzzy systems

Author

Huang, Chih-Peng ; Juang, Yau-Tarng

Author_Institution

Dept. of Electr. Eng., Nat. Central Univ., Taiwan, Taiwan

Volume

33

Issue

6

fYear

2003

Firstpage

766

Lastpage

771

Abstract

The stability analysis and design of the systems, described in Takagi-Sugeno´s (TS) fuzzy model, are discussed in this correspondence. Based on the alternating projection method, the stability issue can be extended to a prescribed stability region. And the projection algorithm is proposed for assuring the desired stability. By involving the controller, we further introduce the design issues for the closed-loop system. Some numerical examples are given to demonstrate the validity and feasibility.

Keywords

closed loop systems; control system analysis; control system synthesis; fuzzy control; fuzzy systems; pole assignment; stability; Takagi-Sugeno fuzzy model; alternating projection method; closed-loop system; fuzzy system design; parallel distributed compensation; pole assignment; prescribed stability region; projection algorithm; Control design; Control systems; Design methodology; Fuzzy control; Fuzzy sets; Fuzzy systems; Linear systems; Projection algorithms; Stability analysis; Takagi-Sugeno model;

fLanguage

English

Journal_Title

Systems, Man and Cybernetics, Part A: Systems and Humans, IEEE Transactions on

Publisher

ieee

ISSN

1083-4427

Type

jour

DOI

10.1109/TSMCA.2003.818460

Filename

1255586