Robust H2 Consensus for Multi-Agent Systems With Parametric Uncertainties

This brief is concerned with the robust H
₂
consensus problem of linear multi-agent systems in the presence of parametric uncertainties and noise signals. The robust H
₂
consensus problem is defined and the design procedure for the distributed state feedback controller is developed to synchronize the network as well as guarantee a prescribed H
₂
performance. As s special case, the robust consensus problem with only parametric uncertainties is also studied and is converted into the simultaneous H
_∞
stabilization problems for a set of subsystems. The controller parameters are determined by solving some linear matrix inequalities.