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UAV Formation Control under Fixed and Variable Adjacency Based Directed Network Topologies


Affiliations
1 Department of Electrical and Electronics Engineering, National Institute of Technology Sikkim, Ravangla, South Sikkim 737 139, India
2 National Institute of Technology Sikkim, Ravangla, South Sikkim 737 139, India
 

The UAV formation control is one of the key aspects in several applications like surveillance, moving target tracking, load-transportation, and delivery systems etc. These situations demand the multiple UAVs to manoeuvre in a desired formation. To address this problem, a distributed formation control scheme is proposed incorporating the details about the state of the neighbouring UAVs. The communication network topology among the UAVs is considered to be directed with the constant and the weighted adjacency matrices. The nonholonomic constraints are considered while deriving the desired Euler angles. Satisfying the conditions of Lyapunov provides necessary proof of stability along the positional and the attitude subsystems. Simulation results demonstrate that the desired tetrahedron, octahedron, and cube shapes are attained and maintained by the UAVs successfully. Also, the designed formation paradigm works proficiently for both the constant and the weighted adjacency matrices based directed network topologies. The performance validation is done through extensive comparative analysis for varying network connections.

Keywords

Graph Network, Laplacian Matrix, Lyapunov Stability, Nonholonomic Constraints, Weighted Adjacency Matrix.
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  • UAV Formation Control under Fixed and Variable Adjacency Based Directed Network Topologies

Abstract Views: 110  |  PDF Views: 79

Authors

Arindam Singha
Department of Electrical and Electronics Engineering, National Institute of Technology Sikkim, Ravangla, South Sikkim 737 139, India
Anjan Kumar Ray
Department of Electrical and Electronics Engineering, National Institute of Technology Sikkim, Ravangla, South Sikkim 737 139, India
Arun Baran Samaddar
National Institute of Technology Sikkim, Ravangla, South Sikkim 737 139, India

Abstract


The UAV formation control is one of the key aspects in several applications like surveillance, moving target tracking, load-transportation, and delivery systems etc. These situations demand the multiple UAVs to manoeuvre in a desired formation. To address this problem, a distributed formation control scheme is proposed incorporating the details about the state of the neighbouring UAVs. The communication network topology among the UAVs is considered to be directed with the constant and the weighted adjacency matrices. The nonholonomic constraints are considered while deriving the desired Euler angles. Satisfying the conditions of Lyapunov provides necessary proof of stability along the positional and the attitude subsystems. Simulation results demonstrate that the desired tetrahedron, octahedron, and cube shapes are attained and maintained by the UAVs successfully. Also, the designed formation paradigm works proficiently for both the constant and the weighted adjacency matrices based directed network topologies. The performance validation is done through extensive comparative analysis for varying network connections.

Keywords


Graph Network, Laplacian Matrix, Lyapunov Stability, Nonholonomic Constraints, Weighted Adjacency Matrix.

References