The present study deals with a space-based variable geometry mobile ma
nipulator with an arbitrary number of modules, each with two flexible
links: one of them free to slew (revolute joint); and the other deploy
able (prismatic joint). The versatile manipulator has several attracti
ve features: favorable obstacle avoidance, absence of singular configu
rations, reduced inertia coupling, relatively simpler inverse kinemati
cs as well as governing equations of motion, to mention a few. To begi
n with, derivation of the governing equations of motion, using the Lag
rangian procedure, is explained. As can be expected, the recursive equ
ations are highly nonlinear, nonautonomous and coupled. This is follow
ed by the development of a numerical algorithm leading to the solution
for the inverse kinematics. Finally, some typical simulation results
for trajectory control of the end-effector using the resolved accelera
tion approach are presented. They clearly emphasize importance of the
control strategy based on the flexible manipulator model. (C) 1998 Els
evier Science Ltd. All rights reserved.