Consensus algorithm for energy consumption of wireless sensor networks

Energy consumption is one of the fundamental and challenging problems in the wireless sensor networks. It is considered from the view of energy consensus in this paper. Algebraic graph theory is used to describe topology structure of the wireless sensor networks(WSN). The energy consumption of nodes is analyzed and modeled. A hybrid model is built to describe the process of updating continuous energy state and the process of dynamic, discrete topology of WSN. Considering surplus energy information coupled with control message from base station, consensus algorithm for energy consumption is proposed. Integration analysis of the hybrid system reveals that the surplus energy state of each node converges to energy consumption balance. We evaluate the system with the simulation experience and performance data. The results can be a guideline to design and develop collaborative WSN with energy aware.