Frontiers of Electrical and Electronic Engineering >

2009 , Vol. 4 >Issue 4: 378 - 391

DOI: https://doi.org/10.1007/s11460-009-0058-2

Research articles

New approaches to delay-dependent robust H ∞ control of uncertain discrete-time T-S fuzzy systems with time-varying delay

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  • 1.Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Hong Kong 999077, China.；Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150001, China; 2.Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Hong Kong 999077, China.; 3.Department of Precision Machinery and Precision Instrumentation, University of Science and Technology of China, Hefei 230026, China;

Published date: 05 Dec 2009

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Abstract

This paper investigates the problem of delay-dependent robust H∞ state-feedback control for a class of uncertain discrete-time state-delayed T-S fuzzy systems. The state delay is assumed to be time-varying and of an interval-like type with the lower and upper bounds. The parameter uncertainties are assumed to have a structured linear-fractional form. Based on a novel fuzzy-basis-dependent Lyapunov-Krasovskii functional incorporating a free-weighting matrix approach, some new delay-dependent sufficient conditions for robust H∞ performance analysis and controller synthesis are derived in terms of linear matrix inequalities (LMIs). Numerical examples are also provided to illustrate the effectiveness of the proposed approaches.

Key words： discrete-time T-S fuzzy systems; time-delay systems; delay-dependent; robust control; linear-fractional uncertainties; linear matrix inequalities (LMIs)

Cite this article

Jianbin QIU, Gang FENG, Jie YANG, . New approaches to delay-dependent robust H ∞ control of uncertain discrete-time T-S fuzzy systems with time-varying delay[J]. Frontiers of Electrical and Electronic Engineering, 2009 , 4(4) : 378 -391 . DOI: 10.1007/s11460-009-0058-2

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