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.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Theory of Singular Optimal Controls with Applications to Space Flight Mechanics


    Contributors:

    Published in:

    Cosmic Research ; 42 , 3 ; 289-299


    Publication date :

    2004-05-01


    Size :

    11 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




    Theory of Singular Optimal Controls with Applications to Space Flight Mechanics

    Shakhverdyan, A. S. / Shakhverdyan, S. V. | Online Contents | 2004


    Singular Perturbations in Flight Mechanics

    Calise, A. J. | British Library Conference Proceedings | 1994


    Nonlinearity Index Theory for Flight Mechanics Applications

    Omran, A. / Newman, B. | British Library Conference Proceedings | 2010


    Nonlinearity Index Theory for Flight Mechanics Applications

    Omran, Ashraf / Newman, Brett | AIAA | 2010