Abstract

This paper addresses the formation control with obstacle avoidance for multi-agent systems. The control task is finished by a weighted graph and consensus theory. With the utilization of the weights in control law, desired formation shape can be reached. An appropriate weight function is designed for the edges of the graph to avoid obstacles. For complex obstacles distribution, an adaptive tension coefficient is proposed. Based on Lyapunov stability theory, it is proved that the proposed formation approach can realize the control objective. The proposed formation control strategy is also extended to non-holonomic wheeled robot model. Finally, the effectiveness of the proposed formation scheme is further confirmed by simulation studies.

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