/10.3390/fractalfract7010053

Fractional-Order PID Controller Based on Immune Feedback Mechanism for Time-Delay Systems

 Adel Makhbouchehttps://orcid.org/0000-0001-8868-2760, Badreddine Boudjehem https://orcid.org/0000-0003-3740-7421, I. Birs https://orcid.org/0000-0001-5658-850X and C. I. Muresan  https://orcid.org/0000-0003-2301-4133

Volum 7, Issue 01 Pages 53, 2023

Fractal and Fractional

https://doi.org/10.3390/fractalfract7010053

 

Abstract

The control of processes with time delays is crucial in process industries such as petrochemical, hydraulic, and manufacturing. It is a challenging task for automation engineers, as it may affect both phase and gain margins. In this case, a robust control system is preferred. This article presents a novel controller structure combining computational intelligence (CI) and fractional-order control. A fractional-order PID (FOPID) controller based on a bio-inspired immune feedback mechanism (IFM) is developed for controlling processes described as first-order plus time-delay systems (FOPTD). A genetic algorithm (GA) is used to optimize the controller parameters. Fractional-order control has been used to give extra flexibilities and an immune feedback mechanism for its self-adaptability. Numerical simulations are presented to validate the proposed control strategy in terms of reference tracking and disturbance rejection. Comparative simulation results with an immune integer-order PID controller are also included to demonstrate the efficiency of the proposed fractional-order method.

Keywords

fractional-order PID; immune feedback mechanism; genetic algorithm; time-delay system