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local optimum solutions, so that it can better serve the optimization of controller parameters. This presents
an exciting direction for future work. Subsequent research is needed to validate these prospects, but the inte-
gration of these two algorithms could potentially provide a powerful tool for tackling complex optimization
problems.

DECLARATIONS
Authors’ contributions
Significantly contributed to the conceptualization of the study and the methodology proposed and performed
the validation, analysis, investigation, resource acquisition, and writing: Guan J
Performed article review and editing, project supervision and management: Cheng H

Availability of data and materials
Not applicable.

Financial support and sponsorship
None.

Conflicts of interest
Both authors declared that there are no conflicts of interest

Ethical approval and consent to participate
Not applicable.

Consent for publication
Not applicable.

Copyright
© The Author(s) 2024.

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