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A computational method for non-convex reachable sets using optimal control

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005580
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
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

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