Open Access

ARTICLE

Practical Application of Fractional Order Controllers to a Delay Thermal System

Aymen Rhouma^1,∗, Sami Hafsi^2,†, 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. 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 I^λ) 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 I^λ parameters Experiment results onto a time delay thermal system are given to illustrate the effectiveness of the developed strategies.

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Citations