Nonconvex Optimization Problems for Maximum Hands-Off Control

• 成果类型: Article
• 署名作者: Ikeda, Takuya
• 署名单位: University of Kitakyushu
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3474061
• 发表日期: 2025
• 页码: 1905-1912
• 关键词: Optimal control; optimization; vectors; cost function; Approximation methods; Convex functions; Sparse approximation; State estimation; STANDARDS; Optimization methods; Difference of convex functions; nonconvex approximation; optimal control; sparse control

摘要

Maximum hands-off control is the optimal solution to the L(0 )optimal control problem. While convex approximation is typically used to relax this problem, it does not necessarily result in maximum hands-off control. Therefore, this study introduces a nonconvex approximation method and a class of nonconvex optimal control problems that are always equivalent to the maximum hands-off control problem. A computation method based on difference of convex functions optimization is then derived and numerically validated.