Robust H∞ control for uncertain Markovian jump systems with mixed delays

doi:10.1088/1674-1056/25/7/070201

Abstract We scrutinize the problem of robust H_∞ control for a class of Markovian jump uncertain systems with interval time-varying and distributed delays. The Markovian jumping parameters are modeled as a continuous-time finite-state Markov chain. The main aim is to design a delay-dependent robust H_∞ control synthesis which ensures the mean-square asymptotic stability of the equilibrium point. By constructing a suitable Lyapunov-Krasovskii functional (LKF), sufficient conditions for delay-dependent robust H_∞ control criteria are obtained in terms of linear matrix inequalities (LMIs). The advantage of the proposed method is illustrated by numerical examples. The results are also compared with the existing results to show the less conservativeness.

Keywords: linear matrix inequality Lyapunov method Markovian jumping parameters robust H_∞ control

Received: 11 September 2015
Revised: 21 March 2016
Accepted manuscript online:

PACS:	02.10.Yn	(Matrix theory)
	02.30.Hq	(Ordinary differential equations)
	02.30.Ks	(Delay and functional equations)
	02.30.Yy	(Control theory)

Fund: Project supported by Department of Science and Technology (DST) under research project No. SR/FTP/MS-039/2011.

Corresponding Authors: R Saravanakumar, M Syed Ali
E-mail: saravanamaths30@gmail.com;syedgru@gmail.com

Cite this article:

R Saravanakumar, M Syed Ali Robust H_∞ control for uncertain Markovian jump systems with mixed delays 2016 Chin. Phys. B 25 070201

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Robust H_∞ control for uncertain Markovian jump systems with mixed delays