Robustness of ISS systems to inputs with limited moving average: Application to spacecraft formations

Abstract

Summary 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. In the presence of fast peaking perturbations, the approach provides a tighter evaluation of the disturbances' influence, which allows for the use of more parsimonious control gains. Copyright © 2015 John Wiley & Sons, Ltd.

Input‐to‐state stability‐based adaptive control for spacecraft fly‐around with input saturation

“…On the other hand, from a control design perspective, a crucial challenge is to maintain a desired fly‐around trajectory when the external disturbances cause drifts of both the relative position of the spacecraft and the formation centre. These perturbing signals may have diverse origins: solar wind and radiation, intervehicle interference, small debris, micrometeoroids, gravitational disturbances, actuator mismatch, and so on [21]. Most of these disturbances are hard to model in a precise manner.…”