A Switching Time Optimization Strategy for Optimal Control Problems

doi:10.1007/s40305-023-00499-9

Journal of the Operations Research Society of China ›› 2025, Vol. 13 ›› Issue (2): 393-414.doi: 10.1007/s40305-023-00499-9

收稿日期:2022-09-19 修回日期:2023-05-30 出版日期:2025-06-30 发布日期:2025-07-07
作者简介:Yin Chen,E-mail:chenyin6655@163.com;Xi Zhu,E-mail:zhuxi0130@126.com

A Switching Time Optimization Strategy for Optimal Control Problems

Yin Chen, Chang-Jun Yu, Xi Zhu

Department of Mathematics, Shanghai University, Shanghai 200444, China

Received:2022-09-19 Revised:2023-05-30 Online:2025-06-30 Published:2025-07-07
Contact: Chang-Jun Yu E-mail:yuchangjun@126.com
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).

摘要/Abstract

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.

Key words: Optimal control, Control parameterization, Time-scaling transformation, Sequential adaptive switching time optimization technique, Co-state method

中图分类号:

. [J]. Journal of the Operations Research Society of China, 2025, 13(2): 393-414.

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.

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