Skip to Main content Skip to Navigation
Journal articles

Approximation of Reachable Sets using Optimal Control Algorithms

Robert Baier 1 Matthias Gerdts 2 Ilaria Xausa 2
1 Mathematisches Institut [Bayreuth]
2 Institut für Mathematik und Rechneranwendung [Munchen]
Abstract : Numerical experiences with a method for the approximation of reachable sets of nonlinear control systems are reported. The method is based on the formulation of suitable optimal control problems with varying objective functions, whose discretization by Euler's method lead to finite dimensional non-convex nonlinear programs. These are solved by a sequential quadratic programming method. An efficient adjoint method for gradient computation is used to reduce the computational costs. The discretization of the state space is more efficiently than by usual sequential realization of Euler's method and allows adaptive calculations or refinements. The method is illustrated for two test examples. Both examples have non-linear dynamics, the first one has a convex reachable set, whereas the second one has a non-convex reachable set.
keyword : sadco
Document type :
Journal articles
Complete list of metadata
https://hal.inria.fr/inria-00637880
Contributor : Estelle Bouzat Connect in order to contact the contributor
Submitted on : Thursday, November 3, 2011 - 11:11:38 AM
Last modification on : Saturday, May 29, 2021 - 7:18:08 PM

Identifiers

Collections

INSMI | SADCO_WP1 | SADCO_WP2 | SADCO_WP | SADCO | SADCO_FELLOWS | TDS-MACS

Citation

Robert Baier, Matthias Gerdts, Ilaria Xausa. Approximation of Reachable Sets using Optimal Control Algorithms. Numerical Algebra, Control and Optimization, American Institute for Mathematical Sciences, 2013, 3 (3), pp.519 - 548. ⟨10.3934/naco.2013.3.519⟩. ⟨inria-00637880⟩

Export

BibTeX TEI DC DCterms EndNote

Share

Metrics

Les métriques sont temporairement indisponibles

 

Contact                    Legal Notice                    Personal Data