## 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 |