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.
Optimal control for consensus of spacecrafts cluster flight
2013-07-01
674023 byte
Conference paper
Electronic Resource
English
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