Fast distributed consensus control for second-order multi-agent systems

In this paper, we investigate fast distributed consensus problems of a network of second-order dynamic agents. A consensus protocol which considers the average information of the agents' states in a certain time interval is proposed. Based on the frequently-domain analysis and matrix theory, the sufficient conditions for the second-order multi-agent system converging to a fast stationary consensus and a fast dynamical consensus are obtained, respectively. Simulations are provided to demonstrate the effectiveness of our theoretical results.