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Generation of minimally persistent circle formation for a multi-agent system
Authors:Luo Xiao-Yuan  Shao Shi-Kai  Zhang Yu-Yan  Li Shao-Bao  Guan Xin-Ping  Liu Zhi-Xin
Affiliation:a School of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China;b Department of Mechanical and Biomedical Engineering, City University of Hong Kong, Kowloon, Hong Kong, China
Abstract:In this paper, two methods of generating minimally persistent circle formation are presented. The proposed methods adopt a leader-follower strategy and all followers are firstly motivated to move into the leader’s interaction range. Based on the information about relative angle and relative distance, two numbering schemes are proposed to generate minimally persistent circle formation. Distributed control laws are also designed to maintain the desired relative distance between agents. The distinctive features of the proposed methods are as follows. First, only 2n-3 unilateral communication links for n agents are needed during the circle formation process and thus the communication complexity can be reduced. In addition, the formation topology is kept fixed for the whole motion and achieves a self-stability property. Finally, each follower keeps a regualr interval with its neighbors and the formation converges to a uniform circle formation. Simulation results are also provided to demonstrate the effectiveness of the proposed methods.
Keywords:multiagent system  formation control  minimally persistent graph  numbering strategy
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