Title: Discrete time quasi-sliding mode control of nonlinear uncertain systems

Authors: Ibtissem Bsili; Jalel Ghabi; Hassani Messaoud

Addresses: Laboratory of Automatic Control, Signal Processing and Image (LARATSI), National Engineering School of Monastir, University of Monastir, Tunisia ' Department of Electrical Engineering, Higher Applied Science and Technology Institute, University of Kairouan, Tunisia ' Department of Electrical Engineering, National Engineering School of Monastir, University of Monastir, Tunisia

Abstract: The control of nonlinear uncertain systems is still an open area of research, and sliding mode control (SMC) is one of the robust and effective methods to cope with uncertain conditions. In this paper, a new sliding mode control algorithm for a class of discrete-time nonlinear uncertain systems is proposed. By using an estimator of uncertainties and external disturbances, the proposed algorithm ensures the stability of the closed loop system as well as the reference tracking. The controller designed using the above technique is completely insensitive to the parametric uncertainty and the external disturbances. Simulations are carried out on a numerical example and a bioreactor benchmark, and the results confirm the effectiveness of our proposition.

Keywords: discrete time quasi-sliding mode control; nonlinear systems; uncertain systems; estimator; a bioreactor benchmark.

DOI: 10.1504/IJMIC.2018.090464

International Journal of Modelling, Identification and Control, 2018 Vol.29 No.2, pp.100 - 108

Received: 23 Mar 2016
Accepted: 06 Oct 2016
Published online: 19 Mar 2018 *

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