Swarm-Inspired Algorithms to Optimize a Nonlinear Gaussian Adaptive PID Controller

This work deals with metaheuristic optimization algorithms to derive the best parameters for the Gaussian Adaptive PID controller. This controller represents a multimodal problem, where several distinct solutions can achieve similar best performances, and metaheuristics optimization algorithms can b...

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Bibliographic Details
Published in:Energies (Basel) 2021-06, Vol.14 (12), p.3385
Main Authors: Puchta, Erickson, Bassetto, Priscilla, Biuk, Lucas, Itaborahy Filho, Marco, Converti, Attilio, Kaster, Mauricio, Siqueira, Hugo
Format: Article
Language:English
Subjects:
ABC
Algorithms
Buck converters
Computer applications
Controllers
Food
GAPID controller
Genetic algorithms
Medical equipment
Optimization
Optimization algorithms
Performance evaluation
PSO
WOA
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Summary:This work deals with metaheuristic optimization algorithms to derive the best parameters for the Gaussian Adaptive PID controller. This controller represents a multimodal problem, where several distinct solutions can achieve similar best performances, and metaheuristics optimization algorithms can behave differently during the optimization process. Finding the correct proportionality between the parameters is an arduous task that often does not have an algebraic solution. The Gaussian functions of each control action have three parameters, resulting in a total of nine parameters to be defined. In this work, we investigate three bio-inspired optimization methods dealing with this problem: Particle Swarm Optimization (PSO), the Artificial Bee Colony (ABC) algorithm, and the Whale Optimization Algorithm (WOA). The computational results considering the Buck converter with a resistive and a nonlinear load as a case study demonstrated that the methods were capable of solving the task. The results are presented and compared, and PSO achieved the best results.
ISSN:1996-1073
1996-1073
DOI:10.3390/en14123385