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Practical Application of Fractional Order Controllers to a Delay Thermal System

Aymen Rhouma1,∗, Sami Hafsi2,†, Faouzi Bouani3

1 Shaqra University, Kingdom of Saudi Arabia
1,2,3 Université de Tunis El Manar, Ecole Nationale d’Ingénieurs de Tunis
1,2,3 LR11ES20 Laboratoire Analyse, Conception et Commande des Systèmes, 1002, Tunis, Tunisie

* Corresponding Authors: E-mail:

Computer Systems Science and Engineering 2019, 34(5), 305-313.


This paper provides an application of Fractional Model Predictive Control (FMPC) and fractional-order Proportional Integral controller (P Iλ) on a thermal system with time delay.The first controller is based on Grünwald-Letnikov’s method to predict the future dynamic behavior of the system. This method consists in replacing the non-integer derivation operator of the adopted system representation by a discrete approximation. Therefore, this controller is developed on the basis of a fractional order model. However, the second controller is founded on an extended version of Hermite-Biehler theorem to determine the complete set stabilizing P Iλ parameters Experiment results onto a time delay thermal system are given to illustrate the effectiveness of the developed strategies.


Cite This Article

A. Rhouma, S. Hafsi and F. Bouani, "Practical application of fractional order controllers to a delay thermal system," Computer Systems Science and Engineering, vol. 34, no.5, pp. 305–313, 2019.


This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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