Smooth homotopies for single-input time optimal orbital transfer

Bernard BONNARD, Jean-Baptiste CAILLAU, Romain Dujol

    Research output: Contribution in Book/Catalog/Report/Conference proceedingChapter


    This article deals with the time minimal transfer of a satellite between Keplerian orbits with control along the tangential direction. The study is motivated by cone constraints on the thrust. The time optimal control law has switchings and homtopies are applied to smooth the discontinuities. The optimal solutions are computed using a shooting method, taking into account second-order optimality conditions.
    Original languageEnglish
    Title of host publicationInternational Journal of Tomography and Statistics
    Subtitle of host publicationSpecial Issue on: Control Applications of Optimisation - control and aeronautics, optimal control, control of partial differential equations
    EditorsDelfim TORRES, Emmanuel TRELAT
    PublisherIndian Society for Development and Environment Research
    Number of pages6
    Publication statusPublished - 2007


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