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Cooperative group formation control for multiple quadrotors system with finite- and fixed-time convergence
Pan Yang1, An Zhang1, Wenhao Bi1
1School of Aeronautics, Northwestern Polytechnical University, West Youyi Road, Beilin District, Xi'an 710072, Shaanxi, China.
Abstract:
A multitude of quadrotors cooperatively executing complicated tasks in predefined geometric configurations has attracted arising attention. Accurate and effective formation control laws are essential for completing missions. Finite- and fixed-time group formation control problems for multiple quadrotors are researched in this paper. The quadrotors are first divided into M distinct and non-overlapping subgroups. In each subgroup, quadrotors are driven to form the predefined configuration, with the whole achieving M-group formation meanwhile. Two distributed algorithms for multiple quadrotors system are then designed to realize finite- and fixed-time group formation. Detailed and theoretical analysis of finite- and fixed-time group formation formability is conducted. Sufficient conditions are provided by utilizing the Lyapunov stability and bi-limit homogeneity theory. Two simulations are carried out to verify the effectiveness of proposed algorithms.
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