Abstract The problem of existence of solutions to the problems of optimum control with a singularity condition H(x, ψ, u) ≡ const, ∀u ∈ ω ⊂ U is studied. The necessary conditions of appearance of the singular control, as well as time location and the numbers of singular sections of the trajectories of a controlled object under consideration, are obtained. The numerical algorithms of solving the problems with the condition of singularity of control are constructed. The widely known problem of optimum control of the motion of a high-altitude rocket probe is also considered, and it is proved that in this problem no intermediate section can exist in the law of variation of the thrust. The results of numerical experiments are presented together with their relative evaluation.


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    Title :

    Theory of Singular Optimal Controls with Applications to Space Flight Mechanics


    Contributors:

    Published in:

    Publication date :

    2004




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English



    Classification :

    BKL:    55.60 Raumfahrttechnik / 39.00 Astronomie: Allgemeines / 50.93 Weltraumforschung
    Local classification TIB:    770/3520/8000



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