Adaptive consensus of wireless sensor networks under local measurement by a sink node

Abstract

In this paper, consensus problem is investigated for a class of discrete-time wireless sensor networks, with which the topologies are connected. Each sensor updates its state that is based on the states of itself and its neighbours, the information that each sensor received is corrupted by additive noise, and data can be gotten by a sink node directly or indirectly. Based on the local measurement among the sink node and its neighbours, an expected state is provided. According to errors among the expected state and the states of all sensors, the adaptive consensus protocols are provided. By Gershgorin's theorem and the Lyapunov functional method, a sufficient condition has been derived to ensure system to achieve the expected value. Simulation results are provided to verify the reliability of the proposed methods.

Keywords:

• wireless sensor networks
• adaptive consensus
• sink node
• local measurement

Acknowledgements

We would like to thank the anonymous reviewers for their helpful comments.

Additional information

Funding

This work is supported by the cultivation Fund of Taizhou University [grant number 2013PY09].