Approximation of reachable sets using optimal control and support vector machines
File(s)
Accepted version
Author(s)
Rasmussen, M
Rieger, J
Webster, KN
Type
Journal Article
Abstract
We propose and discuss a new computational method for the numerical approximation of reachable sets for nonlinear control systems. It is based on the support vector machine algorithm and represents the set approximation as a sublevel set of a function chosen in a reproducing kernel Hilbert space. In some sense, the method can be considered as an extension to the optimal control algorithm approach recently developed by Baier, Gerdts and Xausa. The convergence of the method is illustrated numerically for selected examples.
Date Issued
2016-07-15
Date Acceptance
2016-06-08
Citation
Journal of Computational and Applied Mathematics, 2016, 311, pp.68-83
ISSN
0377-0427
Publisher
Elsevier
Start Page
68
End Page
83
Journal / Book Title
Journal of Computational and Applied Mathematics
Volume
311
Copyright Statement
© 2016 Elsevier B.V. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Commission of the European Communities
Grant Number
EP/L00187X/1
PIEF-GA-2013-624526
Subjects
Numerical & Computational Mathematics
0102 Applied Mathematics
0103 Numerical And Computational Mathematics
0906 Electrical And Electronic Engineering
Publication Status
Published