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Design of Robust Fractional Predictive Control for a Class of Uncertain Fractional Order Systems

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Fractional Order Systems—Control Theory and Applications

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 364))

Abstract

In this work, the robust fractional predictive control (RFPC) approach is designed for a class of fractional order system with real uncertain parameters. The control law is obtained by the resolution of a min–max optimisation problem that takes into account the uncertainties of the fractional order model parameters. Subsequently, the resolution of this problem through the use of standard approach can give local solutions. Hence, we propose the use of the global optimization methods with a view to solving min–max non-convex problem for the uncertain fractional order system, which eventually helps to find the global optimum. The performances and the efficiency of the proposed RFPC controller are illustrated with practical applications to a thermal system.

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Author information

Authors and Affiliations

  1. LR11ES20 Laboratoire Analyse, Conception et Commande des Systèmes, Université de Tunis El Manar, Ecole Nationale d’Ingénieurs de Tunis, 1002, Tunis, Tunisie

    Aymen Rhouma & Sami Hafsi

  2. Faculté des Sciences de Tunis, Université de Tunis El Manar, 2092, Tunis, Tunisie

    Aymen Rhouma

Authors
  1. Aymen Rhouma
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  2. Sami Hafsi
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Editor information

Editors and Affiliations

  1. CEM Laboratory, Department of Electrical Engineering, National School of Engineers of Sfax, University of Sfax, Sfax, Tunisia

    Omar Naifar

  2. Department of Mathematics, College of Science, Jouf University, Sakaka, Saudi Arabia

    Abdellatif Ben Makhlouf

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Rhouma, A., Hafsi, S. (2022). Design of Robust Fractional Predictive Control for a Class of Uncertain Fractional Order Systems. In: Naifar, O., Ben Makhlouf, A. (eds) Fractional Order Systems—Control Theory and Applications. Studies in Systems, Decision and Control, vol 364. Springer, Cham. https://doi.org/10.1007/978-3-030-71446-8_8

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