In this paper, the fuel-optimal control problem of multiple spacecraft formation flying with relative motion constaints is addressed via the indirect optimization method. As opposed to the most existing works where the formation deployment/reconfiguration problem is formulated on the chief-deputy topology or the total fuel consumption is optimized in the $\ell _{2}$-norm sense, the presented methodology manages to identify the $\ell _{1}$-optimal control law for a distributed formation structure, in which each spacecraft satisfies the periodicity (or energy-matching) condition and relative geometry requirement. In particular, the homotopic approach in conjunction with a linearization method is adopted so as to reduce the inherent sensitivity of the two-point boundary-value problem, and the fuel-optimal solution can be successfully targeted. The results are validated in Laser Interferometer Space Antenna, a project initiated for gravitational wave detection.


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    Titel :

    Fuel-Optimal Control for Multiple Spacecraft Formation Flying With Relative Motion Constraints


    Beteiligte:
    Wang, Wei (Autor:in) / Wu, Di (Autor:in) / Baoyin, Hexi (Autor:in)


    Erscheinungsdatum :

    01.12.2024


    Format / Umfang :

    2024999 byte




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch




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