Optimal control for state-keeping stage of tethered satellite with random perturbation

The dynamic equations of a Tethered Satellite System (TSS) with elastic tether were established. This model was linearized at the equilibrium position, and the influence of random perturbation on TSS was considered. In order to fulfill the station-keep control of the TSS along orbits, by integrating Kalman filter with the optimal state feedback control, a control scheme based on the 2nd Young Engineers' Satellite (YES2) project was proposed. Finally, simulation analyses based on the models with considering elasticity and neglecting elasticity were made respectively. Simulation results show that the system under proposed law has good anti-ja mming performance. Besides, the tether tension changes smoothly and its amplitude is small, so that the TSS has superior reliability and security. And with the decrease of stiffness, the tether longitudinal vibration increases, which could provide ideas for selecting the appropriate tether material.