HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

Using switching detection and variational equations for the shooting method

Abstract : We study in this paper the resolution by single shooting of an optimal control problem with a bang-bang control involving a large number of commutations. We focus on the handling of these commutations regarding the precise computation of the shooting function and its Jacobian. We first observe the impact of a switching detection algorithm on the shooting method results. Then, we study the computation of the Jacobian of the shooting function, by comparing classical finite differences to a formulation using the variational equations. We consider as an application a low thrust orbital transfer with payload maximization. This kind of problem presents a discontinuous optimal control, and involves up to 1800 commutations for the lowest thrust. Copyright c 2000 John Wiley & Sons, Ltd.
Document type :
Journal articles
Complete list of metadata

Cited literature [22 references]  Display  Hide  Download

https://hal.inria.fr/inria-00271155
Contributor : Pierre Martinon Connect in order to contact the contributor
Submitted on : Tuesday, April 8, 2008 - 1:15:01 PM
Last modification on : Wednesday, November 10, 2021 - 10:18:03 AM
Long-term archiving on: : Thursday, May 20, 2010 - 11:05:16 PM

File

Martinon-Gergaud-OCAM2006-prep...
Files produced by the author(s)

Identifiers

  • HAL Id : inria-00271155, version 1

Citation

Pierre Martinon, Joseph Gergaud. Using switching detection and variational equations for the shooting method. Optimal Control Applications and Methods, Wiley, 2007, 28 (2), pp.95-116. ⟨inria-00271155⟩

Share

Metrics

Record views

381

Files downloads

272