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Avoidance trajectories for driver assistance systems via solvers for optimal control problems

URN to cite this document: urn:nbn:de:bvb:703-epub-1979-3

Title data

Xausa, Ilaria ; Baier, Robert ; Gerdts, Matthias ; Gonter, Mark ; Wegwerth, Christian:
Avoidance trajectories for driver assistance systems via solvers for optimal control problems.
Department of Mathematics, University of Bayreuth
Bayreuth , 2012 . - 8 S.

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Xausa_Baier_Gerdts_Gonter_Wegwerth_avoidance_trajectories_via_solvers_for_ocp_mtns_2012.pdf - Accepted Version
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Project information

Project title:
Project's official titleProject's id
Marie-Curie Initial Training Network "Sensitivity Analysis for Deterministic Controller Design" (SADCO)264735-SADCO

Project financing: 7. Forschungsrahmenprogramm für Forschung, technologische Entwicklung und Demonstration der Europäischen Union

Abstract

Avoidance trajectories for driver assistance systems is an important and active field of research in car industry. Assistance systems with active braking maneuvers rely on car models, e.g. the single-track model, which are modeled as control problems. The formulation of suitable objective functions serves as a tool to realize collision detection and avoidance. In two scenarios for overtaking maneuvers, an optimal trajectory is computed via fixing a secure target state or by computing reachable sets from the initial starting point. First numerical experiments show approximations to optimal trajectories, controls and reachable sets. The sensitivity analysis in both, the optimal trajectory and the reachable set, reveal parameters that signicantly influence the solution.

Further data

Item Type: Preprint, postprint
Keywords: sensitivity analysis; direct discretization methods; optimal control; reachable sets
Subject classification: Mathematics Subject Classification Code: 90C31 (49K40 49M37)
DDC Subjects: 500 Science > 510 Mathematics
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Profile Fields
Profile Fields > Advanced Fields
Profile Fields > Advanced Fields > Nonlinear Dynamics
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-1979-3
Date Deposited: 27 Mar 2015 10:15
Last Modified: 28 Mar 2019 15:42
URI: https://epub.uni-bayreuth.de/id/eprint/1979

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