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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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Abstract

Abstract

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.
Keywords:
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

Journal

IEEE Transactions on Automatic Control cover
IEEE Transactions on Automatic Control
IF:
7
Papers:
1.3W
Citations:
6.7W

Organization

U
University of Kitakyushu
Scholars:
853
Papers: 824
Citations: 926
Cited Papers

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