Robustness of ISS systems to inputs with limited moving average, with application to spacecraft formations

Esten Grotli (1) , Antoine Chaillet (2) , Elena Panteley (2) , Jan Gravdahl (1)

1 IDI - Department of Computer and Information Science [Trondheim]
2 L2S - Laboratoire des signaux et systèmes

We provide a theoretical framework that fits realistic challenges related to spacecraft formation with disturbances. We show that the input-to-state stability of such systems guarantees some robustness with respect to a class of signals with bounded average-energy, which encompasses the typical disturbances acting on spacecraft formations. Solutions are shown to converge to the desired formation, up to an offset which is somewhat proportional to the considered moving average of disturbances. The approach provides a tighter evaluation of the disturbances' influence, which allows for the use of more parsimonious control gains.

Keywords: Robustness; ISS; Moving average of disturbances; Spacecraft formation

Domains: Engineering Sciences [physics]; Automatic

Esten Grotli, Antoine Chaillet, Elena Panteley, Jan Gravdahl. Robustness of ISS systems to inputs with limited moving average, with application to spacecraft formations. 7th International Conference on Informatics in Control, Automation and Robotics, Jun 2010, Madeira, Portugal. pp.1-6. ⟨hal-00522182⟩