Space electromagnetic docking is characterized by such advantages as no propellant consuming, continuous reversible ability and no plume contaminations, thus ensuring a broad prospect of application. The control difficulties of space electromagnetic docking lie in nonlinearity, uncertainty and coupling, etc. Given these, this paper synthesized LESO, feedback linearization and robust H_∞control technology, designed a coordinated robust control and verified the performance and robust ability of the proposed control scheme through simulation. Simulation results show that the proposed control scheme is capable of observing all states, improving the robust ability to model error and external disturbance and performing good tracking control functions.