LAPSE:2023.9815
Published Article
LAPSE:2023.9815
Bio-Inspired Optimization Algorithms Applied to the GAPID Control of a Buck Converter
February 27, 2023
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.
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.
Record ID
Keywords
adaptive control, Differential Evolution, GAPID control, Genetic Algorithm, Particle Swarm Optimization
Subject
Suggested Citation
Itaborahy Filho MA, Puchta E, Martins MSR, Antonini Alves T, Tadano YDS, Corrêa FC, Stevan SL Jr, Siqueira HV, Kaster MDS. Bio-Inspired Optimization Algorithms Applied to the GAPID Control of a Buck Converter. (2023). LAPSE:2023.9815
Author Affiliations
Itaborahy Filho MA: 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 [ORCID]
Puchta E: 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 [ORCID]
Martins MSR: 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 [ORCID]
Antonini Alves T: 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 [ORCID]
Tadano YDS: 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 [ORCID]
Corrêa FC: 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 [ORCID]
Stevan SL Jr: 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 [ORCID]
Siqueira HV: 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; Graduate Program in Industrial Engineering (PPGEP), Federal [ORCID]
Kaster MDS: 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 [ORCID]
Puchta E: 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 [ORCID]
Martins MSR: 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 [ORCID]
Antonini Alves T: 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 [ORCID]
Tadano YDS: 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 [ORCID]
Corrêa FC: 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 [ORCID]
Stevan SL Jr: 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 [ORCID]
Siqueira HV: 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; Graduate Program in Industrial Engineering (PPGEP), Federal [ORCID]
Kaster MDS: 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 [ORCID]
Journal Name
Energies
Volume
15
Issue
18
First Page
6788
Year
2022
Publication Date
2022-09-16
ISSN
1996-1073
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PII: en15186788, Publication Type: Journal Article
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LAPSE:2023.9815
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https://doi.org/10.3390/en15186788
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