Application of fractional calculus in the control of heat systems

The PID controller is by far the most dominating from of feedback in use in the process industries, due to its functional simplicity and performance. In this Work, we apply a generalization of the PID, namely the fractional controller PID, to the heat diffusion system. For the PID tuning are used fo...

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Bibliographic Details
Main Author: Jesus, Isabel S. (author)
Other Authors: Tenreiro Machado, J. A. (author)
Format: article
Language:eng
Published: 2019
Subjects:
Fractional calculus
Control
Diffusion systems
ISE
ITSE
IAE
ITAE
Online Access:http://hdl.handle.net/10400.22/13463
Country:Portugal
Oai:oai:recipp.ipp.pt:10400.22/13463
Description
Summary:The PID controller is by far the most dominating from of feedback in use in the process industries, due to its functional simplicity and performance. In this Work, we apply a generalization of the PID, namely the fractional controller PID, to the heat diffusion system. For the PID tuning are used four performance indices, to find the optimum controller settings by taking advantage of the fractional order B. The effect of actuator aturation and the required control energy are also analyzed.

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