Integrated Position and Attitude Adaptive Stabilization of Service Spacecraft for the Detumbling of Space Debris via Eddy Brake

This paper deals with the integrated position and attitude adaptive control problem during the de-tumbling of space debris via eddy brake. To do so, a nonlinear coupled translation and rotation dynamics with electromagnetic effect is firstly formulated. The unknown system parameters are then analyzed and the regressor matrices are derived as well. In what follows, a nonlinear integrated position and attitude control scheme is proposed by adaptive backstepping technique to ensure a concurrent position and attitude stabilization. The closed-loop stability analysis is given in the Lyapunov framework. At last, numerical simulation verifies the effect of the proposed nonlinear control scheme.