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

Title data

Baier, Robert ; Gerdts, Matthias:
A computational method for non-convex reachable sets using optimal control.
In: Proceedings of the European Control Conference (ECC). - Piscataway, New Jersey : IEEE , 2009 . - pp. 97-102
ISBN 978-3-9524173-9-3
DOI: https://doi.org/10.23919/ECC.2009.7074386

Abstract in another language

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: Article in a book
Refereed: Yes
Additional notes: Contents:
I. Introduction
II. The Algorithm
III. Numerical Examples
IV. Extensions and Related Problems
V. Conclusions and Future Works
Keywords: optimal control problems; direct discretization methods for optimal control; distance function
Subject classification: Mathematics Subject Classification Code: 93B03 (49J21 49J15 34A60 49J53)
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
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 19 Feb 2021 09:13
Last Modified: 24 Mar 2021 06:46
URI: https://eref.uni-bayreuth.de/id/eprint/63254