Sampled-Data Control for Relative Position Holding of Spacecraft Rendezvous With Thrust Nonlinearity

摘要

This paper investigates the sampled-data control problem for spacecraft relative positional holding with limited thrust and thrust nonlinearity. The relative dynamic model is established based on the Clohessy–Wiltshire equations. Sector nonlinearity is employed to describe the nonlinear behavior of the chaser's thruster. The relative position holding problem is regarded as a sampled-data output tracking control problem, and the disturbance attenuation for the closed-loop system is considered. By a Lyapunov approach, the controller design is cast into a convex optimization problem. Simulation results show the effectiveness and advantage of the proposed controller design method.