To achieve the fast convergence and tracking precision of a robotic upper-limb exoskeleton,this paper proposes an observerbased integrated fixed-time control scheme with a backstepping method.Firstly,a typical 5 DoF (degrees of freedom) dynamics is constructed by Lagrange equations and processed for control purposes.Secondly,second-order sliding mode controllers (SOSMC) are developed and novel sliding mode surfaces are introduced to ensure the fixed-time convergence of the human-robot system.Both the reaching time and settling time are proved to be bounded with certain values independent of initial system conditions.For the purpose of rejecting the matched and unmatched disturbances,nonlinear fixed-time observers are employed to estimate the exact value of disturbances and compensate the controllers online.Ultimately,the synthesis of controllers and disturbance observers is adopted to achieve the excellent tracking performance and simulations are given to verify the effectiveness of the proposed control strategy.