چكيده به لاتين
The Geometric method is the one of the nonlinear methods of large-scale relative motion. Satellite tracking and relative attitude control are employed for applications such as inter-satellite links and docking maneuver. In this paper, the equations of geometric method for perturbed orbits has been developed in the presence of third-body as well as position dynamics and used for relative tracking and attitude control of two satellite for the application of inter-satellite links. Also, a control law is designed to track and control the relative attitude of two satellite in the presence of external disturbances, the uncertainty of the moment of inertia (due to fuel sloshing) and actuator saturation (due to limited thrusts). For this, it is necessary that the payload of satellites, which is the receiver and transmitter's antennas, are aligned in the same direction. For the orientation of satellites, it is first necessary, through the theory of relative motion, to obtain some relative parameters such as relative position, relative velocity and so on. The geometric method is used to obtain relative parameters. Due to the uncertainty in the dynamics of the system, a robust controller must be used to obtain control law. Also, this controller must be resistant to external disturbances. In this paper, the effect of the external disturbance of the base satellite control system on the target satellite tracking control system has been investigated. Also, in the section of controller design, a method has been used to optimize the control effort and convergence rate. Finally, an appropriate control law is obtained using sliding mode control theory that is stable and resistant to position dynamics, uncertainties, actuator saturation and external disturbances as well as has good accuracy.