Matrix analysis
Automatica (Journal of IFAC)
Tracking control for multi-agent consensus with an active leader and variable topology
Automatica (Journal of IFAC)
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In this paper, we present a consensus protocol for continuous-time multi-agent systems with fixed and switching topologies. The agent dynamics is expressed in the form of a double integrator model. The consensus protocol is provided based on the information of each agent's neighbors. By using the graph theory and the Lyapunov function, a sufficient condition is obtained to guarantee that each agent can follow the leader if the leader moves at an unknown constant acceleration. Finally, a numerical simulation is given to show the effectiveness of our theoretical results.