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Entropy 2016, 18(11), 398; doi:10.3390/e18110398

Fractional-Order Identification and Control of Heating Processes with Non-Continuous Materials

Department of Electrical, Electronic and Information Engineering, University of Catania, Viale A. Doria 6, 95125 Catania, Italy
Department of Electrical and Information Engineering, Politecnico di Bari, Via Amendola 126/b, 70126 Bari, Italy
Author to whom correspondence should be addressed.
Academic Editors: António M. Lopes and J. A. Tenreiro Machado
Received: 26 September 2016 / Revised: 4 November 2016 / Accepted: 9 November 2016 / Published: 12 November 2016
(This article belongs to the Special Issue Complex Systems and Fractional Dynamics)
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The paper presents a fractional order model of a heating process and a comparison of fractional and standard PI controllers in its closed loop system. Preliminarily, an enhanced fractional order model for the heating process on non-continuous materials has been identified through a fitting algorithm on experimental data. Experimentation has been carried out on a finite length beam filled with three non-continuous materials (air, styrofoam, metal buckshots) in order to identify a model in the frequency domain and to obtain a relationship between the fractional order of the heating process and the different materials’ properties. A comparison between the experimental model and the theoretical one has been performed, proving a significant enhancement of the fitting performances. Moreover the obtained modelling results confirm the fractional nature of the heating processes when diffusion occurs in non-continuous composite materials, and they show how the model’s fractional order can be used as a characteristic parameter for non-continuous materials with different composition and structure. Finally, three different kinds of controllers have been applied and compared in order to keep constant the beam temperature constant at a fixed length. View Full-Text
Keywords: Fractional order systems; modeling; control; optimization; heat transfer; non-continuous materials Fractional order systems; modeling; control; optimization; heat transfer; non-continuous materials

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Caponetto, R.; Sapuppo, F.; Tomasello, V.; Maione, G.; Lino, P. Fractional-Order Identification and Control of Heating Processes with Non-Continuous Materials. Entropy 2016, 18, 398.

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