This paper presents an optimal control method for consensus of spacecrafts cluster flight based on linear quadratic regulation (LQR). Firstly, we employ period-delayed errors as states of cooperative control and derive period-delayed errors dynamics of single spacecraft and the cluster of spacecrafts. Then, we converts the control problem of spacecrafts cluster flight periodically bounded relative motion into the consensus of period-delayed errors. We devise a feedback control law with a positive scalar called coupling gain. The notion of consensus region used in the consensus problem of multi-agent systems and the graph theory are analyzed. Considering the communication topology, we can select a suitable coupling gain according to the consensus region. Employing LQR-based optimal method, we can design the feedback control gain. So that the period-delayed errors of the spacecrafts cluster and semi-major axis of each spacecraft tend to consensus, which result in spacecrafts cluster emerging the global coordination swarming-like behavior. Numerical simulations are conducted verifying the effectiveness of the proposed LQR-based optimal control method for consensus of spacecrafts cluster flight.


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    Title :

    Optimal control for consensus of spacecrafts cluster flight


    Contributors:
    Zhou, Liang (author) / Luo, Jianjun (author) / Zhang, Bo (author)


    Publication date :

    2013-07-01


    Size :

    674023 byte




    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



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