@inproceedings{3e6ec09f5a6344e78cacc90787151d24,
title = "Optimal control for consensus of spacecrafts cluster flight",
abstract = "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.",
keywords = "Consensus, Consensus Region, LQR, Period-delayed Errors, Spacecrafts Cluster Flight",
author = "Liang Zhou and Jianjun Luo and Bo Zhang",
year = "2013",
month = oct,
day = "18",
language = "英语",
isbn = "9789881563835",
series = "Chinese Control Conference, CCC",
publisher = "IEEE Computer Society",
pages = "7185--7190",
booktitle = "Proceedings of the 32nd Chinese Control Conference, CCC 2013",
note = "32nd Chinese Control Conference, CCC 2013 ; Conference date: 26-07-2013 Through 28-07-2013",
}