Abstract
The problem of spacecraft relative position holding with limited thrust and thruster nonlinearity is investigated in this paper. The relative dynamic model with sampled-data measurement is established based on the Clohessy-Wiltshire (C-W) equations. Thruster nonlinearity and limited thrust constraint are taken into consideration. Then, the relative position holding problem is regarded as a sampled-data output tracking control problem. Based on Lyapunov stabilization theory, the sampled-data controller is designed by solving a convex optimization problem. Simulations show the effectiveness of the proposed method.