Title
Fractional-Order Identification and Control of Heating Processes with Non-Continuous Materials.
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.
Year
DOI
Venue
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 Caponetto18222.95
Francesca Sapuppo2113.60
Vincenzo Tomasello300.34
Guido Maione45412.37
Paolo Lino5135.62