Delay-dependent robust controller design for a class of nonlinear uncertainty time-delay systems with input delay

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  • 1.Institute of Sciences, PLA University of Science and Technology; 2.College of Automation Engineering, Nanjing University of Aeronautics and Astronautics;

Published date: 05 Jun 2008

Abstract

Based on an appropriate Lyapunov function, this paper analyzes the design of a delay-dependent robust H state feedback control, with a focus on a class of nonlinear uncertainty linear time-delay systems with input delay using linear matrix inequalities. Under the condition that the nonlinear uncertain functions are gain bounded, a sufficient condition dependent on the delays of the state and input is presented for the existence of H controller. The proposed controller not only stabilized closed-loop uncertain systems but also guaranteed a prescribed H norm bound of closed-loop transfer matrix from the disturbance to controlled output. By solving a linear matrix inequation, we can obtain the robust H controller. An example is given to show the effectiveness of the proposed method.

Cite this article

WANG Yanqing, PANG Xiumei, JIANG Changsheng . Delay-dependent robust controller design for a class of nonlinear uncertainty time-delay systems with input delay[J]. Frontiers of Electrical and Electronic Engineering, 2008 , 3(2) : 234 -239 . DOI: 10.1007/s11460-008-0039-x

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