A Switching Time Optimization Strategy for Optimal Control Problems

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  • Department of Mathematics, Shanghai University, Shanghai 200444, China

Received date: 2022-09-19

  Revised date: 2023-05-30

  Online published: 2025-07-07

Supported by

The funded was grant by Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice (No. 22DZ2229014), Science and Technology Commission of Shanghai Municipality (No. 20JC1413900).

Abstract

The time-scaling transformation is a widely used approach within the computational framework of control parameterization for optimizing the switching times of control variables. However, the conventional time-scaling transformation has the limitation that the switching times and the number of switches for each control component must be the same. In this paper, we present a novel technique to solve constrained optimal control problems that allows for adaptively optimizing the switching times for each control component. Numerical results demonstrate that this proposed method provides better flexibility in control strategy and yields improved performance.

Cite this article

Yin Chen, Chang-Jun Yu, Xi Zhu . A Switching Time Optimization Strategy for Optimal Control Problems[J]. Journal of the Operations Research Society of China, 2025 , 13(2) : 393 -414 . DOI: 10.1007/s40305-023-00499-9

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