URN to cite this document: urn:nbn:de:bvb:703-epub-5580-7
Title data
Baier, Robert ; Gerdts, Matthias:
A computational method for non-convex reachable sets using optimal control.
Bayreuth
,
2008
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Abstract
A computational method for the approximation of reachable sets for non-linear dynamic systems is suggested. The method is based on a discretization of the interesting region and a projection onto grid points. The projections require to solve optimal control problems which are solved by a direct discretization approach. These optimal control problems allow a flexible formulation and it is possible to add non-linear state and/or control constraints and boundary conditions to the dynamic system. Numerical results for non-convex reachable sets are presented. Possible applications include robust optimal control problems.
Further data
Item Type: | Preprint, postprint |
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Additional notes (visible to public): | erscheint in:
Proceedings of the European Control Conference (ECC). - Piscataway, New Jersey : IEEE , 2009 . - S. 97-102 DOI: https://doi.org/10.23919/ECC.2009.7074386 |
Keywords: | optimal control problems; direct discretization methods for optimal control; distance function |
DDC Subjects: | 500 Science 500 Science > 510 Mathematics |
Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics |
Language: | English |
Originates at UBT: | Yes |
URN: | urn:nbn:de:bvb:703-epub-5580-7 |
Date Deposited: | 20 May 2021 12:26 |
Last Modified: | 10 Jun 2021 10:03 |
URI: | https://epub.uni-bayreuth.de/id/eprint/5580 |