Abstract
This paper presents an optimal discrete-time integral sliding mode control for constrained piecewise affine systems. The proposed scheme is developed on the basis of linear quadratic regulator approach and differential evolution algorithm in order to ensure the stability of the closed-loop system in discrete-time sliding mode and the optimization of response characteristics in presence of control input constraints. Moreover, the controller is designed such that chattering phenomenon is avoided and finite-time convergence to the sliding surface is guaranteed. The follow-up of a reference model is also ensured. The efficiency of the proposed method is illustrated with an inverted pendulum system.
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Recommended by Associate Editor Tae-Hyoung Kim under the direction of Editor Euntai Kim.
Olfa Jedda is a Ph.D. student in Electrical Engineering at National Engineering School of Monastir, Univesity of Monastir Tunisia. She received the Engineer’s degree in Electrical Engineering from National Engineering School of Monastir in 2013. Her current research interests include sliding mode control, hybrid systems and optimization techniques.
Ali Douik was born in Tunis, Tunisia. He received his B.S., M.S., and Ph.D. degrees in Electrical Engineering from the ENSET and ESSTT of Tunis, Tunisia, in 1988, 1990, and 1996, respectively and the HDR in Electrical Engineering from the University of Monastir, Monastir, Tunisia in 2010. He was in National Engineering School of Monastir from September 1991 to September 2014 and actually he is a full Professor in Computer Science department at National Engineering School of Sousse. His research interests include Automatic control, sliding mode control, Optimization, Evolutionary algorithms and Digital Image Processing.
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Jedda, O., Douik, A. Optimal Discrete-time Integral Sliding Mode Control for Piecewise Affine Systems. Int. J. Control Autom. Syst. 17, 1221–1232 (2019). https://doi.org/10.1007/s12555-017-0322-9
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DOI: https://doi.org/10.1007/s12555-017-0322-9