- Title
- Maximum hands-off control and L¹ optimality
- Creator
- Nagahara, Masaaki; Quevedo, Daniel E.; Nešić, Dragan
- Relation
- 2013 IEEE 52nd Annual Conference on Decision and Control. Proceedings of the 2013 IEEE 52nd Annual Conference on Decision and Control (Firenze, Italy 10-13 December, 2013) p. 3825-3830
- Relation
- ARC.DP0988601 http://purl.org/au-research/grants/arc/DP0988601
- Publisher Link
- http://dx.doi.org/10.1109/CDC.2013.6760473
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- conference paper
- Date
- 2013
- Description
- 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.
- Subject
- optimal control; fuels; vectors; educational institutions; optimization; switches
- Identifier
- http://hdl.handle.net/1959.13/1341317
- Identifier
- uon:28714
- Identifier
- ISBN:9781467357173
- Language
- eng
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