A unified solution is presented to the tracking control problem of Euler-Lagrange systems with finite-time convergence. A reconstruction module is designed to estimate the overall of unmodeled dynamics, disturbance, actuator misalignment, and multiple actuator faults. That reconstruction is accomplished in finite time with zero error. A nonsingular terminal sliding mode controller is then synthesized, and the resultant closed-loop system is also shown to be finite-time stable with the reference trajectory followed in finite time. Unlike most sliding mode control methods to handle system uncertainties, the designed control has less conservativeness and stronger fault tolerant capability. A rigid spacecraft system is used to demonstrate the effectiveness and potential of the proposed scheme.with b i W < 7 ! < a function standing for the time profile of a fault affecting the ith actuator. Further, this profile is modeled byTheorem 1 The error " in the observer error system (14) and (15) is uniformly ultimately bounded.The goal here is to have the attitude track a reference trajectory d D OE0:25 cos.t =60/ 0:2 sin.t =40/ 0:15 cos.t =50/ T . To accomplish this maneuver, je i j 6 0:004 and j P d i P i j 6 0:0015 must be achieved, i D 1; 2; 3. The control gains for the controller (27) are chosen as D 0:16; K D 0:5; m 2 D 19, and n 2 D 17. The following parameters are suitable choices for the reconstruction module (12) and (13): Á 1 D 0:015; Á 2 D 0:00001; Á 2 D 0:00001; Á 3 D 0:00001; Á 4 D 0:01; Á 5 D 0:05; m 1 D 9; n 1 D 19, and k D 11.Actuator faults: (i) The reaction wheel mounted in line with the CX -axis loses 40% of its normal power after 5 s; (ii) the actuator mounted in line with the CY -axis loses its power of 20% in from the 5th to the 15th second; moreover, this wheel becomes locked in place at a value of 0.01 Nm after 15 s; (iii) the reaction wheel fixed in line with the CZ-axis experiences 0.02 Nm of float fault after 10 s, and (iv) the fourth reaction wheel is healthy for all the time. Attitude tracking error e Time (sec) t f =45secFigure 3. Attitude tracking performance in the presence of actuator faults.To further investigate the performance of the proposed nonsingular control scheme nonsingular terminal sliding fault tolerant control (NTSFTC), two performance indexes that include the time needed to accomplish the tracking maneuver and total power consumption E total are considered: