FOPI/FOPID tuning rule based on a fractional order model for the process
Meneses, Helber (Universidad de Costa Rica. Instituto de Investigaciones en Ingeniería)
Arrieta Orozco, Orlando (Universidad de Costa Rica. Instituto de Investigaciones en Ingeniería)
Padula, Fabrizio (Curtin University. Curtin Centre for Optimisation and Decision Science)
Visioli, Antonio (Università degli Studi di Brescia. Dipartimento di Ingegneria Meccanica e Industriale)
Vilanova i Arbós, Ramon (Universitat Autònoma de Barcelona. Departament de Telecomunicació i Enginyeria de Sistemes)

Date:	2022
Abstract:	This paper deals with the design of a control system based on fractional order models and fractional order proportional-integral-derivative (FOPID) controllers and fractional-order proportional-integral (FOPI) controllers. The controller design takes into account the trade-off between robustness and performance as well as the trade-off between the load disturbance rejection and set-point tracking tasks. The fractional order process model is able to represent an extensive range of dynamics, including over-damped and oscillatory behaviors and this simplifies the process modelling. The tuning of the FOPID and FOPI controllers is achieved by using an optimization, as a first step, and in a second step, several fitting functions were used to capture the behavior of the optimal parameters of the controllers. In this way, a new set of tuning rules called FOMCoRoT (Fractional Order Model and Controllers Robust Tuning) is obtained for both FOPID and FOPI controllers. Simulation examples show the effectiveness of the proposed control strategy based on fractional calculus.
Grants:	Agencia Estatal de Investigación PID2019-105434RB-C33
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	PID control ; Fractional order ; Automatic tuning ; Performance analysis ; Robustness
Published in:	Fractal and Fractional, Vol. 6, Issue 9 (September 2022) , art. 478, ISSN 2504-3110

DOI: 10.3390/fractalfract6090478

16 p, 1.2 MB

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