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Distributed control for consensus of networked multi-agent robotic systems with time delays. (English) Zbl 1175.93164

Summary: This paper deals with the consensus problem for the networked multi-agent robotic systems. Each member in the multi-vehicle group has its desired trajectory which is due to the group task. During the group movement, each robotic vehicle can move at the same velocity and keep a safety distance with others. Each robotic vehicle has its own coordinate system and it can exchange its relative position with its neighbors so that the group formation will be made according to the references after the system reaches consensus. A novel distributed feedback control scheme is proposed to stabilize the system and the sufficient conditions for the controller designs are given by using the Lyapunov method. The effects of the constant time delays have been considered in the controller design. Finally, the main results obtained in this paper are validated by simulation results.

MSC:

93C85 Automated systems (robots, etc.) in control theory
93A14 Decentralized systems
70E55 Dynamics of multibody systems
70E60 Robot dynamics and control of rigid bodies
15A39 Linear inequalities of matrices