Zz. Tan et Pm. Bainum, THE HYBRID CONTROL OF AN ORBITING FLEXIBLE TETHERED ANTENNA REFLECTORSYSTEM, The Journal of the astronautical sciences, 42(3), 1994, pp. 343-359
In order to improve the performance and ensure stability for a tethere
d antenna/reflector system, the longitudinal vibration of the tether s
hould be considered. The frequencies of the longitudinal modes are qui
te high; direct measurement of the vibration is not easily implemented
. Therefore, a passive damper is designed for possible use. The damper
is mounted in the subsatellite at the end of the tether. The system w
ithout the damper is neutrally stable in the gravitational field. But
the in-plane subsystem will be asymptotically stable with the proper d
amper design parameters. It is found that only the tether longitudinal
vibration and the axisymmetric modes of the shell are effectively dam
ped by the passive damper. Therefore, attitude and shape control is as
sumed to result from the combination of active actuators, the tether t
ension and passive damper. The LQR technique is employed to synthesize
the control laws.