Formation control of large-scale mobile sensor networks based on
semilinear parabolic system
Abstract
This paper is concerned with the formation control problem for a class
of large-scale mobile sensor networks. The dynamic of mobile sensors are
modeled by class of semilinear parabolic system, which is a class of
partial differential equation(PDE) and has rich geometric family. In
this model, the communication topology of agents is a chain graph and
fixed. Leader feedback laws which designed in a manner to the boundary
control of semilinear parabolic system allow the mobile sensors stable
deployment onto planar curves. By constructing appropriate Lyapunov
functional and using linear matrix inequality, several sufficient
criteria are derived ensuring the mobile sensor networks to be globally
asymptotically stable at the equilibrium. A simulation example is
provided to demonstrate the usefulness of the proposed formation control
scheme.