New approaches to delay-dependent robust H &#8734; control of
uncertain discrete-time T-S fuzzy systems with time-varying delay

doi:10.1007/s11460-009-0058-2

Front. Electr. Electron. Eng.

2009, Vol. 4

Issue (4) : 378-391 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

Jianbin QIU¹,Gang FENG²,Jie YANG³,

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;

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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.

Keywords discrete-time T-S fuzzy systems time-delay systems delay-dependent robust control linear-fractional uncertainties linear matrix inequalities (LMIs)

Issue Date: 05 December 2009

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]. Front. Electr. Electron. Eng., 2009, 4(4): 378-391.

URL:

https://academic.hep.com.cn/fee/EN/10.1007/s11460-009-0058-2
https://academic.hep.com.cn/fee/EN/Y2009/V4/I4/378

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