Abstract
A tethered satellite is connected with a string called tether to mother ship. Since the tether cannot be pushed, the control tension is constrained to be nonnegative. Additionally, since the tether has flexibility, its analysis is difficult. Therefore it is difficult to guarantee that the tethered satellite does not collide with the mother ship, the tether does not twine, and so on. nevertheless, it has not been discussed enough to guarantee safety. To operate the satellite safely avoiding aforementioned situations, we propose to give switching conditions for the control input. In this paper, we report about the switching control law and simulation results.