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In this paper, dynamic protocols for multi-agent systems are designed and presented to reach consensus on different scenarios. The architecture of such group of agents are with interconnected scattered topology. In static synchrony communication circumstance, a consensus protocol which is depicted in linear dynamic-system form, is developed to make group of agents finally obtain consensus. The consensus proposed can be employed to solve average-consensus problem as well. Faster consensus process is usually required, because in real applications agents should interact (or, make decision) swiftly. Aiming at faster consensus progress and reducing the consensus time, a improved consensus protocol for accelerated consensus is also presented, by adding an acceleration design-parameter. Simulation experiments shows the efficacy and efficiency of such consensus protocols.