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JAIT 2023 Vol.14(2): 257-263
doi: 10.12720/jait.14.2.257-263

Nonlinear Optimal Control Using Sequential Niching Differential Evolution and Parallel Workers

Yves Matanga 1,*, Yanxia Sun 1, and Zenghui Wang 2
1. Department of Electrical and Electronic Engineering, Science University of Johannesburg, Johannesburg, South Africa
2. Department of Electrical Engineering, University of South Africa, Pretoria, South Africa
*Correspondence: yves.matanga@gmail.com (Y.M.)

Manuscript received July 27, 2022; revised August 26, 2022; accepted October 31, 2022; published March 21, 2023.

Abstract—Optimal control is a high-quality and challenging control approach that requires very explorative metaheuristic optimisation techniques to find the most efficient control profile for the performance index function, especially in the case of highly nonlinear dynamic processes. Considering the success of differential evolution in nonlinear optimal control problems, the current research proposes the use of sequential niching differential evolution to boost further the solution accuracy of the solver owing to its globally convergent feature. Also, because sequential niching bans previously discovered solutions, it can propose several competing optimal control profiles relevant for control practitioners. Simulation experiments of the proposed algorithm have been first conducted on IEEE CEC2017/2019 datasets and n-dimensional classical test sets, yielding improved solution accuracy and robust performances on optimal control case studies.
Keywords—sequential niching, differential evolution, nonlinear optimal control

Cite: Yves Matanga, Yanxia Sun, and Zenghui Wang, "Nonlinear Optimal Control Using Sequential Niching Differential Evolution and Parallel Workers," Journal of Advances in Information Technology, Vol. 14, No. 2, pp. 257-263, 2023.

Copyright © 2023 by the authors. This is an open access article distributed under the Creative Commons Attribution License (CC BY-NC-ND 4.0), which permits use, distribution and reproduction in any medium, provided that the article is properly cited, the use is non-commercial and no modifications or adaptations are made.