Distributed control for output consensus of multi-satellite systems

In this paper, a non-linear output feedback control strategy is employed to design a distributed formation controller for a constellation of satellite vehicles, in order to achieve a coordinated action on Earth observation. The formation controller uses notions of graph algebra and consensus theory. A stable non-linear control law is proposed to ensure consensus on a function of the states, while actuating in the second derivative of the states, using backstepping techniques. The control law is further adapted to the satellite’s dynamics, described through Euler angles. Satellites with different orbits are proven to observe points in the surface of the Earth with the desired coordination.