This paper proposes a simultaneous learning optimization method of feedforward input and adjustable parameters using variational symmetry, which is a special property of Hamiltonian systems. First, a new input/output mapping of Hamiltonian representation is constructed, in which feedforward control input and a finite number of adjustable parameters are defined as the input to the system. Then, a modified variational symmetry for the present Hamiltonian system is derived by introducing two operators. Thanks to the modified variational symmetry, the present learning algorithm simultaneously calculates the gradient of a given cost function with respect to an arbitrary number of feedforward inputs and parameters included in the Hamiltonian with at most two gradient experiments without using the plant system model. Furthermore, the proposed method is applied to trajectory tracking control of a spacecraft near an asteroid. Here, the feedback gains of a local proportional derivative feedback controller to stabilize the system and feedforward control input to improve tracking performance are simultaneously optimized by learning. The present numerical simulations verify that the cost function decreases to a local minimum, the maximum tracking error significantly decreases, and the obtained optimal feedforward input behaves closely to the analytically calculated input for perfect tracking.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Simultaneous Learning Optimization of Hamiltonian Systems and Trajectory Tracking Around an Asteroid


    Beteiligte:

    Erschienen in:

    Erscheinungsdatum :

    01.02.2020




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch




    Robust Trajectory Optimization for Autonomous Asteroid Rendezvous

    Ishizuka, Tomohiro / Lizy-Destrez, Stéphanie / Ozaki, Naoya et al. | TIBKAT | 2023


    Spacecraft Trajectory Tracking and Parameter Estimation around a Splitting Contact Binary Asteroid (AAS 19-887)

    Silva, Tiago M. / Bouvier, Jean-Baptiste / Xu, Kathleen et al. | TIBKAT | 2020


    Solar Sail Trajectory Optimization for Asteroid Flyby and Rendezvous

    Zamora-Caballero, Gonzalo / Vazquez, Rafael / Topputo, Francesco | AIAA | 2025


    ASTEROID LANDING TRAJECTORY OPTIMIZATION BASED ON STABILITY ROBUSTNESS CRITERION

    Zhang, Chengyu / Liang, Zixuan / Cui, Pingyuan et al. | TIBKAT | 2022


    Asteroid Descent Trajectory Optimization With Online Thrust-Loss Identification

    Feng, Wenyu / Fan, Zichen / Qi, Ji et al. | IEEE | 2025