Design of a Fractional Order CRONE and PID Controllers for Nonlinear Systems using Multimodel Approach

  • Mohamed Lazhar Wardi University of Gabes, Tunisia, Research Laboratory Modeling, Analysis and Control of Systems, National School of Engineering of Gabes, Omar Ibn El Khattab Street, Zrig Eddakhlania 6072, Gabes, Tunisia
  • Rihab Abdelkrim Shaqra University , Afif 17571, Saudi Arabia
  • Messaoud Amairi University of Gabes, Tunisia, Research Laboratory Modeling, Analysis and Control of Systems, National School of Engineering of Gabes, Omar Ibn El Khattab Street, Zrig Eddakhlania 6072, Gabes, Tunisia
  • Mohamed Naceur Abdelkrim University of Gabes, Tunisia, Research Laboratory Modeling, Analysis and Control of Systems, National School of Engineering of Gabes, Omar Ibn El Khattab Street, Zrig Eddakhlania 6072, Gabes, Tunisia
Keywords: Fractional order controller, Nonlinear Systems, Multimodel approach, Robustness

Abstract

This paper deals with the output regulation of nonlinear control systems in order to guarantee desired performances in the presence of plant parameters variations. The proposed control law structures are based on the fractional order PI (FOPI) and the CRONE control schemes. By introducing the multimodel approach in the closed-loop system, the presented design methodology of fractional PID control and the CRONE control guarantees desired transients. Then, the multimodel approach is used to analyze the closed-loop system properties and to get explicit expressions for evaluation of the controller parameters. The tuning of the controller parameters is based on a constrained optimization algorithm. Simulation examples are presented to show the effectiveness of the proposed method.

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Published
2019-12-03
Section
Articles