Nonlinear consensus protocols for multi-agent systems based on centre manifold reduction

This paper investigates nonlinear consensus protocols for dynamic directed networks of multiagent systems with fixed and switching topology, respectively. Based on center manifold reduction technic, nonlinear consensus protocols are presented. We prove a group of agents can reach a ¯¡consensus , which the group decision value varies from the minimum and the maximum values of the agents’ initial states. Moreover, we derive conditions to guarantee all agents reach a consensus on a desired group decision values. Finally, A simulation study concerning the vertical alignment maneuver of a team of unmanned air vehicles is performed. Simulation results show the nonlinear consensus protocols proposed are more effective than the linear protocols for the formation control of the agents and it is an improvement over existing protocols.