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In this paper, the attitude tracking control problem for rigid spacecraft is investigated in the presence of parameter uncertainties and external disturbances. An extended state observer is designed to estimate the parameter uncertainties and external disturbances. Then, by using the obtained estimation, a robust finite-time controller is proposed to achieve attitude tracking for the rigid spacecraft via the backstepping technique. The practical finite-time stability of the closed-loop system under the presented controller is proven by the Lyapunov stability theory. Finally, some simulation results are provided to illustrate the effectiveness and superiority of the proposed controller compared with some existing control schemes.