Stabilization for a class of T-S uncertain nonlinear systems with Time-Delay

Author

Hong, Zhang ; Lifeng, Zhang

Author_Institution

Sch. of Sci., Dalian Ocean Univ., Dalian, China

fYear

2012

fDate

23-25 May 2012

Firstpage

375

Lastpage

380

Abstract

Problem of delay-dependent stability analysis and stabilization for a class of T-S uncertain nonlinear delay systems is dealt with. By constructing new Lyapunov functions based on fuzzy membership functions, the fuzzy weighing matrices and double integrals are introduced. Based on the feasibility solutions of some linear matrix inequalities, the delay-dependent stability criteria and the new stabilization design scheme are derived. Finally, numerical examples are given to show the effectiveness of the results.

Keywords

Lyapunov methods; delays; fuzzy control; fuzzy set theory; linear matrix inequalities; nonlinear control systems; stability; stability criteria; uncertain systems; Lyapunov functions; T-S uncertain nonlinear delay system stabilization; Takagi-Sugeno fuzzy model; delay-dependent stability criteria; double integrals; fuzzy membership functions; fuzzy weighing matrices; linear matrix inequalities; time delays; Bismuth; Fuzzy control; Linear matrix inequalities; Mathematical model; Stability analysis; Uncertainty; T-S model; fuzzy control; linear fractional uncertain; linear matrix inequality; time-delay;

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.2012.6244056

Filename

6244056