Stabilisation of a class of nonlinear time-delay systems using fuzzy models

Author

Nguang, Sing Kiong ; Shi, Peng

Author_Institution

Dept. of Electr. & Electron. Eng., Auckland Univ., New Zealand

Volume

5

fYear

2000

fDate

2000

Firstpage

4415

Abstract

Examines the problem of stabilising a class of nonlinear time delay systems using fuzzy models. The class of nonlinear time delay systems under investigation is described by the Takagi-Sugeno or Takagi-Sugeno-Kang fuzzy models. Based on a predictor-based controller and a well-known Lyapunov functional approach, we develop a technique for designing a fuzzy state feedback control law which globally stabilises this class of nonlinear time delay systems. A numerical simulation example is presented to illustrate the theory development

Keywords

Lyapunov methods; asymptotic stability; control system synthesis; delay systems; functional equations; fuzzy control; nonlinear control systems; state feedback; Lyapunov functional approach; Takagi-Sugeno fuzzy model; Takagi-Sugeno-Kang fuzzy model; fuzzy models; fuzzy state feedback control law; global stability; nonlinear time-delay systems; predictor-based controller; Control systems; Delay effects; Fuzzy control; Fuzzy systems; Mathematical model; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Takagi-Sugeno model; Telephony;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2000. Proceedings of the 39th IEEE Conference on

Conference_Location

Sydney, NSW

ISSN

0191-2216

Print_ISBN

0-7803-6638-7

Type

conf

DOI

10.1109/CDC.2001.914601

Filename

914601