Abstract

This paper investigates the consensus problem of an array of large mobile sensor networks. A new framework for the dynamic of mobile sensors as a continuum which described by parabolic system with boundary disturbance is proposed. The communication topology of agents is a chain graph and fixed. Leader feedback laws which is designed in a manner to the boundary control of large mobile sensor networks allow the mobile sensors achieve the formation steadily. By referring to Lyapunov functional method and employing boundary control approach, a new protocol is established to deal with formation problem for the large mobile sensor networks. Finally, numerical examples are given to illustrate the usefulness of the results.