This paper considers the motion control problem for uncertain mobile m
anipulator systems comprised of a robotic arm mounted on a wheeled mob
ile platform. More specifically, we address the problem of stabilizing
mobile manipulators in the presence of uncertainty regarding the syst
em dynamic model. It is proposed that a simple and effective solution
to this problem can be obtained by combining ideas from homogeneous sy
stem theory and adaptive control theory. Thus each of the proposed con
trol systems consists of two subsystems: a (homogeneous) kinematic sta
bilization strategy, which generates a desired velocity trajectory for
the mobile manipulator, and an adaptive control scheme, which ensures
that this velocity trajectory is accurately tracked. This approach is
shown to provide arbitrarily accurate stabilization to any desired co
nfiguration and can be implemented without knowledge of the details of
the system dynamic model. Moreover, it is demonstrated that exponenti
al rates of convergence can be achieved with this methodology. The eff
icacy of the proposed stabilization strategies is illustrated through
computer simulations with two mobile manipulators. (C) 1998 John Wiley
& Sons, Inc.