Maximum Hands-Off Control: A Paradigm of Control Effort Minimization
نویسندگان
چکیده
منابع مشابه
Characterization of maximum hands-off control
Maximum hands-off control aims to maximize the length of time over which zero actuator values are applied to a system when executing specified control tasks. To tackle such problems, recent literature has investigated optimal control problems which penalize the size of the support of the control function and thereby lead to desired sparsity properties. This article gives the exact set of necess...
متن کاملValue Function in Maximum Hands-off Control
In this brief paper, we study the value function in maximum hands-off control. Maximum hands-off control, also known as sparse control, is the L-optimal control among the admissible controls. Although the L measure is discontinuous and nonconvex, we prove that the value function, or the minimum L norm of the control, is a continuous and strictly convex function of the initial state in the reach...
متن کاملMaximum hands-off control and L1 optimality
In this article, we propose a new paradigm of control, called a maximum-hands-off control. A hands-off control is defined as a control that has a much shorter support than the horizon length. The maximum-hands-off control is the minimum-support (or sparsest) control among all admissible controls. We first prove that a solution to an L-optimal control problem gives a maximum-handsoff control, an...
متن کاملCLOT Norm Minimization for Continuous Hands-off Control
In this paper, we consider hands-off control via minimization of the CLOT (Combined L-One and Two) norm. The maximum hands-off control is the L-optimal (or the sparsest) control among all feasible controls that are bounded by a specified value and transfer the state from a given initial state to the origin within a fixed time duration. In general, the maximum hands-off control is a bang-off-ban...
متن کاملContinuous Hands-off Control by CLOT Norm Minimization
In this paper, we consider hands-off control via minimization of the CLOT (Combined L-One and Two) norm. The maximum hands-off control is the L-optimal (or the sparsest) control among all feasible controls that are bounded by a specified value and transfer the state from a given initial state to the origin within a fixed time duration. In general, the maximum hands-off control is a bang-off-ban...
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ژورنال
عنوان ژورنال: IEEE Transactions on Automatic Control
سال: 2016
ISSN: 0018-9286,1558-2523
DOI: 10.1109/tac.2015.2452831