LMI-based control synthesis for continuous-time T-S Fuzzy Systems

Author

Wang, Dong ; Chang, Xiao-Heng

Author_Institution

Coll. of Eng., Bohai Univ., Jinzhou, China

fYear

2012

fDate

23-25 May 2012

Firstpage

2707

Lastpage

2711

Abstract

This paper presents stabilizing controller design for a class of continuous-time T-S fuzzy systems. The main result concerns the stabilization based on fuzzy Lyapunov function approaches. Unlike the fuzzy Lyapunov function approaches reported in the literatures, the time-derivatives of membership functions do not appear in the design procedure and sufficient conditions for the solvability of the controller design problem are given in the form of linear matrix inequalities (LMIs) by applying some matrix transformations together with slack variables with special structure.

Keywords

Lyapunov methods; computability; continuous time systems; control system synthesis; fuzzy control; linear matrix inequalities; stability; LMI-based control synthesis; continuous-time T-S fuzzy systems; controller design problem; fuzzy Lyapunov function approaches; linear matrix inequalities; membership functions; slack variables; solvability; stabilizing controller design; time-derivatives; Fuzzy control; Linear matrix inequalities; Lyapunov methods; Stability analysis; Takagi-Sugeno model; Vectors; Linear matrix inequalities (LMIs); T-S fuzzy systems; fuzzy Lyapunov function; stabilization;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2012 24th Chinese

Conference_Location

Taiyuan

Print_ISBN

978-1-4577-2073-4

Type

conf

DOI

10.1109/CCDC.2012.6244431

Filename

6244431