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.

Fractional-Order Identification and Control of Heating Processes with Non-Continuous Materials / Caponetto, R; Sapuppo, F; Tomasello, V; Maione, Guido; Lino, Paolo. - In: ENTROPY. - ISSN 1099-4300. - 18:11(2016). [10.3390/e18110398]

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

MAIONE, Guido;LINO, Paolo
2016-01-01

Abstract

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.
2016
Fractional-Order Identification and Control of Heating Processes with Non-Continuous Materials / Caponetto, R; Sapuppo, F; Tomasello, V; Maione, Guido; Lino, Paolo. - In: ENTROPY. - ISSN 1099-4300. - 18:11(2016). [10.3390/e18110398]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/88362
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