Title | ||
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Fractional-Order Identification and Control of Heating Processes with Non-Continuous Materials. |
Abstract | ||
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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. |
Year | DOI | Venue |
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2016 | 10.3390/e18110398 | ENTROPY |
Keywords | Field | DocType |
Fractional order systems,modeling,control,optimization,heat transfer,non-continuous materials | Frequency domain,Fitting algorithm,Mathematical optimization,Experimental data,Heat transfer,Beam (structure),Mathematics | Journal |
Volume | Issue | ISSN |
18 | 11 | 1099-4300 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
5 |
Name | Order | Citations | PageRank |
---|---|---|---|
Riccardo Caponetto | 1 | 82 | 22.95 |
Francesca Sapuppo | 2 | 11 | 3.60 |
Vincenzo Tomasello | 3 | 0 | 0.34 |
Guido Maione | 4 | 54 | 12.37 |
Paolo Lino | 5 | 13 | 5.62 |