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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    Title :

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


    Contributors:
    Wang, Wei (author) / Wu, Di (author) / Baoyin, Hexi (author)


    Publication date :

    2024-12-01


    Size :

    2024999 byte




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




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