A barrier function method for the optimization of trajectory functionals with constraints

J. Hauser, A. Saccon

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

56 Citations (Scopus)
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Abstract

We develop a barrier function method for the optimization of trajectory functionals with constraints. An approximate or relaxed barrier function is used to incorporate the trajectory constraints into an unconstrained trajectory functional that is minimized using a projection operator based Newton method. The proposed approach is a natural extension to infinite dimensions of the barrier function interior point method in convex optimization. The effectiveness of the approach is illustrated with minimum time optimal control problems under differing constraints
Original languageEnglish
Title of host publicationProceedings of the 45th IEEE Conference on Decision and Control, 13-15 December 2006, San Diego, California
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages864-869
Number of pages6
ISBN (Print)1-4244-0171-2
DOIs
Publication statusPublished - 2006
Externally publishedYes

Keywords

  • Banach manifolds
  • Newton methods
  • constraints
  • nonlinear optimal control
  • nonlinear projection operator
  • trajectory manifold
  • trajectory optimization

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