  Angular velocity estimation is critical for eddy current de-tumbling of
noncooperative space targets. However, unknown model of the noncooperative
target and few observation data make the model-based estimation methods
challenged. In this paper, a Data-driven Moving Horizon Estimation method is
proposed to estimate the angular velocity of the noncooperative target with
de-tumbling torque. In this method, model-free state estimation of the angular
velocity can be achieved using only one historical trajectory data that
satisfies the rank condition. With local linear approximation, the Willems
fundamental lemma is extended to nonlinear autonomous systems, and the rank
condition for the historical trajectory data is deduced. Then, a data-driven
moving horizon estimation algorithm based on the M step Lyapunov function is
designed, and the time-discount robust stability of the algorithm is given. In
order to illustrate the effectiveness of the proposed algorithm, experiments
and simulations are performed to estimate the angular velocity in eddy current
de-tumbling with only de-tumbling torque measurement.
