Improved delay-dependent robust H∞ control of an uncertain stochastic system with interval time-varying and distributed delays

doi:10.1088/1674-1056/23/12/120201

Abstract In this paper, the robust H_∞ control problem for a class of stochastic systems with interval time-varying and distributed delays is discussed. The system under study involves parameter uncertainty, stochastic disturbance, interval time-varying, and distributed delay. The aim is to design a delay-dependent robust H_∞ control which ensures the robust asymptotic stability of the given system and to express it in the form of linear matrix inequalities (LMIs). Numerical examples are given to demonstrate the effectiveness of the proposed method. The results are also compared with the existing results to show its conservativeness.

Keywords: distributed delay interval time-varying delay H_∞ control linear matrix inequality (LMI) stochastic systems

Received: 13 February 2014
Revised: 09 July 2014
Accepted manuscript online:

PACS:	02.30.Hq	(Ordinary differential equations)
	05.40.-a	(Fluctuation phenomena, random processes, noise, and Brownian motion)
	05.40.Jc	(Brownian motion)
	02.30.Yy	(Control theory)

Fund: Project supported by the Fund from the Department of Science and Technology (DST) (Grant No. SR/FTP/MS-039/2011).

Corresponding Authors: M. Syed Ali
E-mail: syedgru@gmail.com

Cite this article:

M. Syed Ali, R. Saravanakumar Improved delay-dependent robust H_∞ control of an uncertain stochastic system with interval time-varying and distributed delays 2014 Chin. Phys. B 23 120201

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Improved delay-dependent robust H∞ control of an uncertain stochastic system with interval time-varying and distributed delays

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Improved delay-dependent robust H_∞ control of an uncertain stochastic system with interval time-varying and distributed delays