Highlights A tailored optimal control computational framework is developed by exploiting the sparsity pattern of the sampling-based approach. Trajectory optimization of a benchmark re-entry problem with complex path and boundary constraints under high-dimensional uncertainties is conducted. Robustness-optimality tradeoff is studied for different combinations of uncertainties. A boundary arc consisting of a continuous line formed by the boundary contact points of each sampled trajectory is observed in the ensemble case. Results are promising in terms of computational efficiency, accuracy and optimality for use in actual multi-phase mission design studies.

    Abstract This paper introduces a sampling-based computational framework with a pseudospectral transcription, designed to investigate performance-robustness tradeoffs for constrained re-entry flights with a non-Gaussian uncertainty propagation. Ensemble of trajectories which are generated with sparse grids with Conjugate Unscented Transformation have been integrated into the nonlinear programming via a vectorized and parallelized formulation. A cross-range maximization problem is formulated to assess the influences of uncertainties in entry interface conditions and model parametric uncertainties. A comprehensive analysis, facilitated by rapid gradient-based optimization convergence and warm-starting, highlights the significant effects of initial speed uncertainties and drag coefficient on problem feasibility, offering insights into optimal control behavior under different degrees and combinations of uncertainties. Proper scaling of controls and the objective function proves pivotal for achieving convergence. Furthermore, a novel phenomenon called “contact arcs” is discovered, composed of contact points that form an arc at the edge of the path constraint in the constrained ensemble optimal control as a counterpart to the boundary arcs in deterministic optimal control problems. Simulation results show excellent agreement with the derived optimality conditions.


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    Titel :

    Robust trajectory optimization of re-entry flight with prescribed endpoint region via sparse grid ensemble pseudospectral optimal control


    Beteiligte:
    Selim, Akan (Autor:in) / Ozkol, Ibrahim (Autor:in)

    Erschienen in:

    Advances in Space Research ; 72 , 11 ; 5102-5128


    Erscheinungsdatum :

    2023-09-18


    Format / Umfang :

    27 pages




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch




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