A relatively general Lagrangian formulation for studying the non-linea
r dynamics and control interconnected flexible members in a tree-type
topology is developed. Versatility of the formulation is illustrated t
hrough a dynamical study of the Space Station-based two-link mobile se
rvicing system (MSS). The performance of the MSS undergoing inplane ac
id out-of-plane slewing maneuvers is compared. Results indicate that,
in absence of control, the maneuvers induce undesirable librational mo
tion of the Space Station as well as vibration of the links. Non-linea
r control based on the feedback linearization technique (FLT), appears
promising. Quasi-closed loop control (QCLC), a variation of the FLT,
is applied to control the libration of the Space Station. Once the att
itude of the Space Station is controlled, the performance of the MSS i
mproves significantly. For a 5-min maneuver of the MSS, the maximum co
ntrol torque required is only 34.5 Nm.