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01.08.2013 | Ausgabe 4/2013

International Journal of Automation and Computing 4/2013

A New Sliding Function for Discrete Predictive Sliding Mode Control of Time Delay Systems

Zeitschrift:
International Journal of Automation and Computing > Ausgabe 4/2013
Autoren:
Abdennebi Nizar, Ben Mansour Houda, Nouri Ahmed Said
Wichtige Hinweise
This work was supported by Ministry of the Higher Education and Scientific Research in Tunisa.
Abdennabi Nizar received the B. Eng. degree in automatic-electrical engineering, and the M. Eng. degree in automatic control from the National School of Engineers of Gabes, Tunisia in 2009 and 2010. Currently, he is a Ph.D. Candidate at Numerical Control of Industrial Processes, National Engineering School of Gabes, Tunisia. He is currently teaching automatic control in National School of Engineers of Gabes, Tunisia.
His research interest include discrete sliding mode control, predictive sliding mode control, stability and stabilization analysis of time delay systems.
Ben Mansour Houda received her B. Eng. degree in electrical engineering and industrial computing from National School of Engineers of Monastir, Tunisia in 2003, and her M.Eng. degree in automatic and industrial computing from the National School of Engineers of Sfax, Tunisia in 2006. She is now preparing her thesis in electric engineering in National School of engineers of Gabes, Tunisia. She is currently teaching industrial computing and automatic control in High School of Applied Sciences and Technology of Gabes, Tunisia
Her research interests include model predictive control, sliding mode control and predictive sliding mode control for multivari-able systems.
Nouri Ahmed Said received the DEA. and the Ph. D. degrees in automatic from National Institute for Applied Sciences, France in 1989 and 1994, respectively. In 2008, he obtained the University Delegation in electric automatic and industrial informatics engineering from National School of Engineers of Sfax, Tunisia. He is professor in automatic control at National School of Engineering of Gabes, Tunisia. He was the chairman of the Electrical Engineering Department of National School of Engineering of Gabes. He is a member of the Research Unit of Numerical Control of Industrial Processes and is the general secretary of the Tunisian Association of Automatic and Numerisation. He is the co-author of the book The Elementary and Practical Theory of the Sliding Mode Control edited by Springer.
His research interests include sliding mode control, numerical control and nonlinear control of industrial processes.

Abstract

The control of time delay systems is still an open area for research. This paper proposes an enhanced model predictive discrete-time sliding mode control with a new sliding function for a linear system with state delay. Firstly, a new sliding function including a present value and a past value of the state, called dynamic surface, is designed by means of linear matrix inequalities (LMIs). Then, using this dynamic function and the rolling optimization method in the predictive control strategy, a discrete predictive sliding mode controller is synthesized. This new strategy is proposed to eliminate the undesirable effect of the delay term in the closed loop system. Also, the designed control strategy is more robust, and has a chattering reduction property and a faster convergence of the system’ state. Finally, a numerical example is given to illustrate the effectiveness of the proposed control.

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