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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: email
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Computer Systems Science and Engineering 2019, 34(5), 305-313. https://doi.org/10.32604/csse.2019.34.305

Abstract

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.

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APA Style
Rhouma, A., Hafsi, S., Bouani, F. (2019). Practical application of fractional order controllers to a delay thermal system. Computer Systems Science and Engineering, 34(5), 305-313. https://doi.org/10.32604/csse.2019.34.305
Vancouver Style
Rhouma A, Hafsi S, Bouani F. Practical application of fractional order controllers to a delay thermal system. Comput Syst Sci Eng. 2019;34(5):305-313 https://doi.org/10.32604/csse.2019.34.305
IEEE Style
A. Rhouma, S. Hafsi, and F. Bouani "Practical Application of Fractional Order Controllers to a Delay Thermal System," Comput. Syst. Sci. Eng., vol. 34, no. 5, pp. 305-313. 2019. https://doi.org/10.32604/csse.2019.34.305

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cc 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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