Relaxed stabilization conditions for continuous-time T-S fuzzy system based on the descriptor system approach

Author

Zhang, Shuanghong ; Xie, Xiaopeng

Author_Institution

Sch. of Math., Normal Univ., Jilin, China

fYear

2010

fDate

26-28 May 2010

Firstpage

2381

Lastpage

2385

Abstract

The problems of relaxed stability analysis and stabilization of continuous-time T-S fuzzy systems are investigated via the descriptor system approach. Firstly, relaxed stability conditions for open-loop fuzzy systems are proposed by applying new additional variable introducing approach. Secondly, with the usage of the non-PDC control scheme, less conservative stabilization conditions are attained by both introducing additional variables and applying a kind of relaxed technique. Moreover, these obtained conditions are expressed in terms of linear matrix inequalities. Finally, numerical examples are given to illustrate the effectiveness and the less conservatism of the proposed conditions.

Keywords

continuous time systems; fuzzy set theory; fuzzy systems; linear matrix inequalities; open loop systems; stability; continuous-time T-S fuzzy system; descriptor system; linear matrix inequalities; nonPDC control; open-loop fuzzy system; relaxed stability analysis; relaxed stabilization condition; Control design; Electronic mail; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Mathematics; Open loop systems; Stability analysis; Symmetric matrices; Takagi-Sugeno model; Descriptor System Approach; Linear Matrix Inequalities (LMIs); Relaxed Stabilization Conditions; Takagi-Sugeno(T-S) Fuzzy Model;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2010 Chinese

Conference_Location

Xuzhou

Print_ISBN

978-1-4244-5181-4

Electronic_ISBN

978-1-4244-5182-1

Type

conf

DOI

10.1109/CCDC.2010.5498798

Filename

5498798