Model Predictive Control of Fractional Order Systems

Author:

Rhouma Aymen12,Bouani Faouzi3,Bouzouita Badreddine14,Ksouri Mekki3

Affiliation:

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

2. Faculté des Sciences de Tunis, Tunis 2092, Tunisia e-mail:

3. Université de Tunis El Manar, Ecole Nationale d'Ingénieurs de Tunis, LR11ES20 Laboratoire Analyse, Conception et Commande des Systèmes, Tunis 1002, Tunisia e-mail:

4. Université de Sousse, Ecole Nationale d'Ingénieurs de Sousse, Sousse 4054, Tunisia e-mail:

Abstract

This paper provides the model predictive control (MPC) of fractional order systems. The direct method will be used as internal model to predict the future dynamic behavior of the process, which is used to achieve the control law. This method is based on the Grünwald–Letnikov's definition that consists of replacing the noninteger derivation operator of the adopted system representation by a discrete approximation. The performances and the efficiency of this approach are illustrated with practical results on a thermal system and compared to the MPC based on the integer ARX model.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

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