Bio-Inspired Optimization Algorithms Applied to the GAPID Control of a Buck Converter

Marco Antonio Itaborahy Filho, Erickson Puchta, Marcella S. R. Martins, Thiago Antonini Alves, Yara de Souza Tadano, Fernanda Cristina Corrêa, Sergio Luiz Stevan, Hugo Valadares Siqueira () and Mauricio dos Santos Kaster
Additional contact information
Marco Antonio Itaborahy Filho: Graduate Program in Electrical Engineering (PPGEE), Federal University of Technology—Paraná-UTFPR, R. Doutor Washington Subtil Chueire, 330-Jardim Carvalho, Ponta Grossa 84017-220, PR, Brazil
Erickson Puchta: Graduate Program in Industrial Engineering (PPGEP), Federal University of Technology—Paraná-UTFPR, R. Doutor Washington Subtil Chueire, 330-Jardim Carvalho, Ponta Grossa 84017-220, PR, Brazil
Marcella S. R. Martins: Graduate Program in Electrical Engineering (PPGEE), Federal University of Technology—Paraná-UTFPR, R. Doutor Washington Subtil Chueire, 330-Jardim Carvalho, Ponta Grossa 84017-220, PR, Brazil
Thiago Antonini Alves: Graduate Program in Mechanical Engineering (PPGEM), Federal University of Technology—Paraná-UTFPR, R. Doutor Washington Subtil Chueire, 330-Jardim Carvalho, Ponta Grossa 84017-220, PR, Brazil
Yara de Souza Tadano: Graduate Program in Mechanical Engineering (PPGEM), Federal University of Technology—Paraná-UTFPR, R. Doutor Washington Subtil Chueire, 330-Jardim Carvalho, Ponta Grossa 84017-220, PR, Brazil
Fernanda Cristina Corrêa: Graduate Program in Electrical Engineering (PPGEE), Federal University of Technology—Paraná-UTFPR, R. Doutor Washington Subtil Chueire, 330-Jardim Carvalho, Ponta Grossa 84017-220, PR, Brazil
Sergio Luiz Stevan: Graduate Program in Electrical Engineering (PPGEE), Federal University of Technology—Paraná-UTFPR, R. Doutor Washington Subtil Chueire, 330-Jardim Carvalho, Ponta Grossa 84017-220, PR, Brazil
Hugo Valadares Siqueira: Graduate Program in Electrical Engineering (PPGEE), Federal University of Technology—Paraná-UTFPR, R. Doutor Washington Subtil Chueire, 330-Jardim Carvalho, Ponta Grossa 84017-220, PR, Brazil
Mauricio dos Santos Kaster: Graduate Program in Electrical Engineering (PPGEE), Federal University of Technology—Paraná-UTFPR, R. Doutor Washington Subtil Chueire, 330-Jardim Carvalho, Ponta Grossa 84017-220, PR, Brazil

Energies, 2022, vol. 15, issue 18, 1-22

Abstract: Although the proportional integral derivative (PID) is a well-known control technique applied to many applications, it has performance limitations compared to nonlinear controllers. GAPID (Gaussian Adaptive PID) is a non-linear adaptive control technique that achieves considerably better performance by using optimization techniques to determine its nine parameters instead of deterministic methods. GAPID represents a multimodal problem, which opens up the possibility of having several distinct near-optimal solutions, which is a complex task to solve. The objective of this article is to examine the behavior of many optimization algorithms in solving this problem. Then, 10 variations of bio-inspired metaheuristic strategies based on Genetic Algorithms (GA), Differential Evolution (DE), and Particle Swarm Optimization (PSO) are selected to optimize the GAPID control of a Buck DC–DC converter. The computational results reveal that, in general, the variants implemented for PSO and DE presented the highest fitness, ranging from 0.9936 to 0.9947 on average, according to statistical analysis provided by Shapiro–Wilks, Kruskall–Wallis and Dunn–Sidak post-hoc tests, considering 95% of confidence level.

Keywords: adaptive control; GAPID control; Differential Evolution; Genetic Algorithm; Particle Swarm Optimization (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/1996-1073/15/18/6788/pdf (application/pdf)
https://www.mdpi.com/1996-1073/15/18/6788/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jeners:v:15:y:2022:i:18:p:6788-:d:917188

Access Statistics for this article

Energies is currently edited by Ms. Agatha Cao

More articles in Energies from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().