Stability Analysis of Time-Delay Fuzzy Systems Using Fuzzy Lyapunov Method

Author

Yeh, Ken ; Chen, Cheng-Wu ; Lin, Shu-Hao ; Chen, Chen-Yuan

Author_Institution

Dept. of Constr. Sci. & Technol., De-Lin Inst. of Technol., Taipei, Taiwan

fYear

2009

fDate

1-3 April 2009

Firstpage

243

Lastpage

248

Abstract

This study presents an H-infinite controller design for time-delay Takagi-Sugeno (T-S) fuzzy systems based on the fuzzy Lyapunov method, which is defined in terms of fuzzy blending quadratic Lyapunov functions. The delay-dependent robust stability criterion is derived in terms of the fuzzy Lyapunov method to guarantee the stability of time-delay T-S fuzzy systems subjected to disturbances. Based on the delay-dependent condition and parallel distributed compensation (PDC) scheme, the controller design problem is transformed into solving linear matrix inequalities (LMI).

Keywords

H^infin control; Lyapunov matrix equations; compensation; control system synthesis; delay systems; distributed control; fuzzy control; linear matrix inequalities; robust control; H-infinite controller design; delay-dependent robust stability criterion; fuzzy Lyapunov method; fuzzy blending quadratic Lyapunov functions; linear matrix inequalities; parallel distributed compensation scheme; stability analysis; time-delay Takagi-Sugeno fuzzy systems; Control systems; Delay; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Robust stability; Stability analysis; Stability criteria; Takagi-Sugeno model; Fuzzy system; Lyapunov method;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Information and Database Systems, 2009. ACIIDS 2009. First Asian Conference on

Conference_Location

Dong Hoi

Print_ISBN

978-0-7695-3580-7

Type

conf

DOI

10.1109/ACIIDS.2009.85

Filename

5176000