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Nonconvex Optimization Problems for Maximum Hands-Off Control

delete2025-03-01
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Takuya Ikeda *
DOI:10.1109/TAC.2024.3474061delete
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摘要

摘要

En 中文
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.
Keyword:
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

期刊

IEEE Transactions on Automatic Control 封面图
IEEE Transactions on Automatic Control
IF:
7
论文数:
1.3W
被引数:
6.7W

机构

U
University of Kitakyushu
学者数:
853
论文数: 824
被引数: 926
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