Brief paper - Synchronisation of linear high-order multi-agent systems: an internal model approach

This study investigates the synchronisation problem of identical linear high-order multi-agent systems. A new dynamical controller is constructed by the internal model approach, which does not depend on the controller state information of neighbouring agents, but only on the weighted sum of relative output errors and the local measured output. The proposed controller can work for some classes of agents having unstable modes and always work well for the agents having all its eigenvalues in the closed left-half complex plane. A simulation example illustrates the efficacy of the analytic results.