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

Entropy

Guido Maione¹  Paolo Lino¹  Vincenzo Tomasello²  Riccardo Caponetto²  Francesca Sapuppo² 

[1] Department of Electrical and Information Engineering, Politecnico di Bari, Via Amendola 126/b, 70126 Bari, Italy;Department of Electrical, Electronic and Information Engineering, University of Catania, Viale A. Doria 6, 95125 Catania, Italy;

关键词: Fractional order systems;    modeling;    control;    optimization;    heat transfer;    non-continuous materials;   

DOI  :  10.3390/e18110398

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown