Abstract Convex programming (CP) is widely used in trajectory planning for space missions due to its high efficiency. Existing CP methods may not handle well with trajectory planning problem for satellite swarms involving multiple nonlinear terminal constraints, leading to solution chattering and initial infeasibility. To overcome this issue, this paper introduces a penalty concave relaxation (PCR) treatment to the conventional CP methods. First, the nonconvex terms in multiple nonlinear terminal constraints are equivalently concentrated into a unique equality constraint to reduce the number of relaxation variables. This equality constraint is then relaxed along the concave direction to guarantee the initial feasibility of the subsequent iterative solution process. Meanwhile, only one penalty coefficient is added on the objective. Finally, the relaxed concave constraint is linearized so that chattering can be avoided in an iterative strategy to solve the original swarm trajectory planning problem. Numerical examples are set up for two swarm trajectory planning missions with nonlinear terminal constraints. The performance of avoiding chattering and ensuring initial feasibility is verified.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Trajectory planning for satellite swarms with nonlinear terminal constraints using penalty concave relaxation


    Beteiligte:
    Zhang, Guoxu (Autor:in) / Wen, Changxuan (Autor:in) / Qiao, Dong (Autor:in) / Liu, Xinfu (Autor:in)


    Erscheinungsdatum :

    2023-12-11




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch





    Cooperative path planning of USV and UAV swarms under multiple constraints

    Yueqi HOU / Hao TAO / Junbin GONG et al. | DOAJ | 2021

    Freier Zugriff

    Trajectory Planning for Autonomous High-Speed Overtaking using MPC with Terminal Set Constraints

    Dixit, Shilp / Montanaro, Umberto / Fallah, Saber et al. | IEEE | 2018


    RELATIVE NAVIGATION OF SATELLITE SWARMS

    Rajan, Raj Thilak | TIBKAT | 2020


    DISTRIBUTED CORRELATORS FOR SATELLITE SWARMS

    Rajan, Raj Thilak / Heusdens, Richard | TIBKAT | 2020