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Maximum-Hands-Off Control and L1 Optimality
- Publication Year :
- 2013
-
Abstract
- 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 L1-optimal control problem gives a maximum-hands-off control, and vice versa. This result rationalizes the use of L1 optimality in computing a maximum-hands-off control. The solution has in general the "bang-off-bang" property, and hence the control may be discontinuous. We then propose an L1/L2-optimal control to obtain a continuous hands-off control. Examples are shown to illustrate the effectiveness of the proposed control method.<br />Comment: 2013 IEEE 52nd Annual Conference on Decision and Control (CDC)
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1307.8232
- Document Type :
- Working Paper