Recent low-thrust space missions have highlighted the importance of designing trajectories that are robust against uncertainties. In its complete form, this process is formulated as a nonlinear constrained stochastic optimal control problem. This problem is among the most complex in control theory, and no practically applicable method to low-thrust trajectory optimization problems has been proposed to date. This paper presents a new algorithm to solve stochastic optimal control problems with nonlinear systems and constraints. The proposed algorithm uses the unscented transform to convert a stochastic optimal control problem into a deterministic problem, which is then solved by trajectory optimization methods such as differential dynamic programming. Two numerical examples, one of which applies the proposed method to low-thrust trajectory design, illustrate that it automatically introduces margins that improve robustness. Finally, Monte Carlo simulations are used to evaluate the robustness and optimality of the solution.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Tube Stochastic Optimal Control for Nonlinear Constrained Trajectory Optimization Problems


    Contributors:

    Published in:

    Publication date :

    2020-02-28


    Size :

    11 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




    Tube Stochastic Optimal Control for Nonlinear Constrained Trajectory Optimization Problems

    Ozaki, Naoya / Campagnola, Stefano / Funase, Ryu | TIBKAT | 2019



    Stochastic Trajectory Optimization Problems with Chance Constraints

    Chai, Runqi / Savvaris, Al / Tsourdos, Antonios et al. | Springer Verlag | 2019


    Stochastic Trajectory and Robust Controller Optimization via Contractive Optimal Control

    Selim, Akan / Cetin, Ahmet T. / Ozkol, Ibrahim et al. | AIAA | 2024


    Instationary Heat-Constrained Trajectory Optimization of a Hypersonic Space Vehicle by ODE-PDE-Constrained Optimal Control

    Chudej, K. / Pesch, H.J. / Wachter, M. et al. | British Library Conference Proceedings | 2009