Guaranteed cost control for uncertain non-linear systems with time-varying delays using T-S fuzzy model

Yi You Hou, Teh-Lu Liao, Jun Juh Yan, Chang Hua Lien

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

This paper investigates the guaranteed cost control problem of uncertain non-linear systems with time-varying delays via the Takagi-Sugeno fuzzy model approach. Based on the Lyapunov-Krasovskii functional theory and the linear matrix inequality technique, a state feedback controller is proposed to stabilise the non-linear systems and minimise the guaranteed cost of the closed-loop systems. Both delay-dependent and delay-independent stability criteria are derived to guarantee the asymptotic stability of closed-loop systems. Furthermore, the supplementary requirement that the time-derivative of time-varying delays must be smaller than one is released for the proposed delay-dependent stability criterion. Two illustrative examples are provided to verify the validity of the results developed in this paper.

Original languageEnglish
Pages (from-to)485-504
Number of pages20
JournalInternational Journal of General Systems
Volume38
Issue number5
DOIs
Publication statusPublished - 2009 Jul 1

Fingerprint

T-S Fuzzy Model
Guaranteed Cost Control
Uncertain Nonlinear Systems
Stability criteria
Time-varying Delay
Stability Criteria
Closed loop systems
Closed-loop System
Nonlinear systems
Delay-dependent Criteria
Takagi-Sugeno Fuzzy Model
Delay-dependent Stability
Lyapunov-Krasovskii Functional
Delay-dependent
Asymptotic stability
Linear matrix inequalities
State feedback
State Feedback
Asymptotic Stability
Matrix Inequality

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Theoretical Computer Science
  • Information Systems
  • Modelling and Simulation
  • Computer Science Applications

Cite this

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Guaranteed cost control for uncertain non-linear systems with time-varying delays using T-S fuzzy model. / Hou, Yi You; Liao, Teh-Lu; Yan, Jun Juh; Lien, Chang Hua.

In: International Journal of General Systems, Vol. 38, No. 5, 01.07.2009, p. 485-504.

Research output: Contribution to journalArticle

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