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Optimal control of switching times in switched linear systems

Abstract:
Switching time optimization arises in finitehorizon optimal control for switched systems where, given a sequence of continuous dynamics, we minimize a cost function with respect to the switching times. In this paper we propose an efficient method for computing optimal switching times in switched linear systems. We derive simple expressions for the cost function, the gradient and the Hessian which can be computed efficiently online without performing any integration. With the proposed method, the most expensive computations are decomposed into independent scalar exponentials which can be efficiently computed and parallelized. Simulation results show that our method is able to provide fast convergence and handle efficiently a high number switching times.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1109/CDC.2016.7799384

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Engineering Science
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Engineering Science
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Engineering Science
Role:
Author


Publisher:
Institute of Electrical and Electronics Engineers
Host title:
2016 IEEE 55th Conference on Decision and Control (CDC), 12-14 Dec. 2016, Las Vegas, NV, USA
Journal:
Proceedings of the IEEE Conference on Decision and Control More from this journal
Publication date:
2016-12-29
Acceptance date:
2016-07-24
DOI:
ISSN:
0191-2216


Pubs id:
pubs:641072
UUID:
uuid:d4a0eb6e-9720-4fcc-925f-8d86077a4b8a
Local pid:
pubs:641072
Source identifiers:
641072
Deposit date:
2016-08-31

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