A hybrid control framework for impulsive control of satellite rendezvous

Mirko Brentari (1) , Laura Sofia Urbina (2) , Denis Arzelier (2) , Christophe Louembet (2) , Luca Zaccarian (2)

1 UNITN - Università degli Studi di Trento = University of Trento
2 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande

We focus on the problem of satellite rendezvous between two spacecraft in elliptic orbits. Using a linearized model of the relative dynamics, we first propose a periodic similarity transformation based on Floquet-Lyapunov theory, leading to a set of coordinates under which the free motion is linear time-invariant. Then we address the problem of impulsive control of satellite rendezvous as a hybrid dynamical system, and we show that the arising elegant representation enables designing impulsive control laws with different trade-offs between computational complexity and fuel consumption. The adopted hybrid formalism allows us to prove suitable stability properties induced by the proposed controllers. The results are comparatively illustrated on simulation examples.

Domaines: Automatique / Robotique

Mirko Brentari, Laura Sofia Urbina, Denis Arzelier, Christophe Louembet, Luca Zaccarian. A hybrid control framework for impulsive control of satellite rendezvous. IEEE Transactions on Control Systems Technology, 2019, 27 (4), pp.1537-1551. ⟨10.1109/TCST.2018.2812197⟩. ⟨hal-01741201⟩