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Optimal Discrete-time Integral Sliding Mode Control for Piecewise Affine Systems

  • Olfa JeddaEmail author
  • Ali Douik
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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.

Keywords

Differential evolution algorithm discrete-time integral sliding mode control inverted pendulum system piecewise affine systems 

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Copyright information

© ICROS, KIEE and Springer 2019

Authors and Affiliations

  1. 1.Electrical Engineering Department, National Engineering School of MonastirUniversity of MonastirMonastirTunisia
  2. 2.Computer Engineering Department, National Engineering School of SousseUniversity of SousseSousseTunisia

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