Distributed Adjacency Weight Design for Second‐order Consensus in Wireless Sensor and Actuator Networks

Abstract

AbstractThe energy supply for sensors in wireless sensor and actuator networks (WSANs) is usually limited, we therefore focus on how to design the adjacency weights for achieving second‐order consensus with less communication energy consumption in a distributed way, and investigate this issue from both the viewpoints of the rate of convergence and the sparsity of the network. We also derived the conditions on the consensus control parameter and the updating period for the proposed consensus protocol to ensure the convergence. It is shown that, by removing some properly chosen links, the sparsity of the resulting network can produce a positive effect on the energy efficiency of WSANs. Finally, simulation results are presented to verify the effectiveness of the proposed algorithm.