Application of Hamilton principle in the control of tethered satellite system pendular motion

The control of a tethered satellite system pendular motion is done by application of Hamiltonian equation of motion on a control design method known as planar H tracking. In this case, the reference motion is considered a natural planar motion. The control of the TSS is accomplished by using the inside plane control inputs as well as the outside plane control inputs. The designed control laws are able to drive the pendular motion to a natural planar trajectory with the required characteristics. The control inputs are analyzed using their magnitude ability. The numerical simulation results for each control inputs show that the inside of plane input not only has strong magnitude, but also effectively controls the pendular motion of the tethered satellite system.