Solution of singular optimal control problems using direct collocation and nonlinear programming

James R. Downey, Bruce A Conway

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper describes work we have done on the determination of optimal rocket trajectories which may include singular arcs. In recent years direct collocation and nonlinear programming has proven to be a powerful method for solving optimal control problems. Difficulties in the application of this method can occur if the problem is singular. Techniques exist for solving singular problems indirectly using the associated adjoint equations. Unfortunately, the adjoints are not a part of the direct formulation. In this work we show how adjoint information can be obtained from the direct method to allow the solution of singular problems.

Original languageEnglish (US)
Title of host publicationAstrodynamics 1991
PublisherPubl by Univelt Inc
Pages1973-1988
Number of pages16
Editionpt 3
ISBN (Print)0877033471
StatePublished - Jan 1 1992
EventProceedings of the AAS/AIAA Astrodynamics Conference - Durango, CO, USA
Duration: Aug 19 1991Aug 22 1991

Publication series

NameAdvances in the Astronautical Sciences
Numberpt 3
Volume76
ISSN (Print)0065-3438

Other

OtherProceedings of the AAS/AIAA Astrodynamics Conference
CityDurango, CO, USA
Period8/19/918/22/91

ASJC Scopus subject areas

  • Aerospace Engineering
  • Space and Planetary Science

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