Adjacency weight design for discrete-time second-order consensus in wireless sensor networks

In this paper, to cope with the limited energy supply in wireless sensor networks (WSNs), we focus on the distributed adjacency weight design method for obtaining discrete-time second-order average consensus. We investigate this issue from the viewpoint of improving both the convergence rate and the sparsity of the network in a distributed way, and derive the condition on the control parameter and updating period for the proposed average consensus algorithm to ensure its convergence. It is shown that, by properly removing some chosen links in the network, the proposed adjacency weight design method can not only ensure the average consensus of nodes but also effectively improve the communication energy efficiency of WSNs. Finally, simulation results are presented to verify the proposed design method.