Mixed sensitivity H∞ control for LTI systems with varying time delays

doi:10.21629/JSEE.2018.03.18

Journal of Systems Engineering and Electronics ›› 2018, Vol. 29 ›› Issue (3): 611-617.doi: 10.21629/JSEE.2018.03.18

• Control Theory and Application • Previous Articles Next Articles

Mixed sensitivity H_∞ control for LTI systems with varying time delays

Mohamed vall OULD MOHAMED()

College of Computer and Information Sciences, AlJouf University, Sakaka 75471, Kingdom of Saudi Arabia

Received:2017-02-06 Online:2018-06-28 Published:2018-07-02
About author:OULD MOHAMED Mohamed vall received his B.S. degree in electronic from the Faculty of Sciences of Tunis, Tunisia, in 1998 and his M.S. degree in automatic control and signal processing and Ph.D. degree in electrical engineering from National School of Engineers of Tunis (ENIT), in 2001 and 2007, respectively. He was with the Computer Science Department at the Faculty of Sciences of Bizerte, Tunisia, from 2002 to 2010. Since 2010, he has been teaching in the Department of Computer Engineering and Networks, College of Computer Science and Information, Aljouf University, Kingdom of Saudi Arabia. His research interests include robust automatic control, sliding mode, systems identification, network control systems, robust control, delayed systems, text classification, genetic algorithms, and neural networks. E-mail: medvall@ju.edu.sa

Abstract

Abstract:

Designing a robust controller for a system with timevarying delays poses a major challenge. In this paper, we propose a method based on mixed sensitivity H_∞ for the control of linear time invariant (LTI) systems with varying time delays. The time delay is assumed bounded and the upper bound is known. In the technique we propose, the delay affecting the plant to be controlled is treated as an unmodeled uncertainty (in form of multiplicative uncertainty). That uncertainty is approximated and then an H_∞ based controller, for the plant represented by the multiplicative uncertainty and the nominal model, is calculated. The obtained H_∞ controller is used to control the LTI systems with varying time delays. Simulation examples are given to illustrate the effectiveness of the proposed method.

Key words: linear time invariant (LTI) systems, mixed sensitivity H_∞, varying time delay, unmodeled uncertainty, H_∞ control

Mohamed vall OULD MOHAMED. Mixed sensitivity H_∞ control for LTI systems with varying time delays[J]. Journal of Systems Engineering and Electronics, 2018, 29(3): 611-617.

Figures/Tables 9

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Mixed sensitivity H_∞ control for LTI systems with varying time delays

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