Consensus Tracking for Heterogeneous Interdependent Group Systems with Fixed Communication Topologies

This paper deals with the consensus tracking problem for heterogeneous interdependent group systems with fixed communication topologies. First, the interdependent model of the heterogeneous system is set up according to the difference of the individual characteristic and the difference of the sub-group topology structure. A kind of distributed consensus tracking control protocol is put forward to come true the consensus tracking of the heterogeneous interdependent group system by local information. Then, some corresponding sufficient conditions are established for ensuring the achievement of consensus tracking. Two parameters are defined, which are respectively the proportion of interdependence individual and the redundancy of interdependence. The effects of these parameters are analyzed on the consensus tracking of group systems. Numerical simulations are provided to demonstrate the effectiveness of the theoretical analysis.