Robust H∞ control of uncertain systems with two additive time-varying delays

doi:10.1088/1674-1056/24/9/090202

Abstract This paper is concerned with the problem of delay-dependent robust H_∞ control for a class of uncertain systems with two additive time-varying delays. A new suitable Lyapunov-Krasovskii functional (LKF) with triple integral terms is constructed and a tighter upper bound of the derivative of the LKF is derived. By applying a convex optimization technique, new delay-dependent robust H_∞ stability criteria are derived in terms of linear matrix inequalities (LMI). Based on the stability criteria, a state feedback controller is designed such that the closed-loop system is asymptotically stable. Finally, numerical examples are given to illustrate the effectiveness of the proposed method. Comparison results show that our results are less conservative than the existing methods.

Keywords: additive time-varying delays Lyapunov method H_∞ control linear matrix inequality

Received: 23 March 2015
Revised: 17 April 2015
Accepted manuscript online:

PACS:	02.30.Hq	(Ordinary differential equations)
	02.30.Ks	(Delay and functional equations)
	02.30.Yy	(Control theory)
	05.45.-a	(Nonlinear dynamics and chaos)

Fund: Project supported by the Fund from the Department of Science and Technology of India (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 Robust H_∞ control of uncertain systems with two additive time-varying delays 2015 Chin. Phys. B 24 090202

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Robust H_∞ control of uncertain systems with two additive time-varying delays