M. Bergerman et Ys. Xu, ROBUST JOINT AND CARTESIAN CONTROL OF UNDERACTUATED MANIPULATORS, Journal of dynamic systems, measurement, and control, 118(3), 1996, pp. 557-565
Underactuated manipulators are robot manipulators composed of both act
ive and passive joints in serial chain mechanisms. The study of undera
ctuation is significant for the control of a variety of rigid-body, sy
stems such as free-floating robots in space and gymnasts, whose struct
ure include passive joints. For mechanisms with large degrees of freed
om, such as hyper-redundant snake-like robots and multi-legged machine
s, the underactuated structure allows a more compact design, weight de
crease, and energy saving. Furthermore, when one or more joints of a s
tandard manipulator fail, it becomes an underactuated mechanism; a con
trol technique for such system will increase the reliability and fault
-tolerance of current and future robots. The goal of this study is to
present a robust control method for the control of underactuated manip
ulators subject to modeling errors and disturbances. Because an accura
te modelling of the underactuated system is more critical for control
issues than it is for standard manipulators, this method is significan
t in practice. Variable structure controllers are proposed in both joi
nt space and Cartesian space, and a comprehensive simulation study is
presented to address issues such as computation, robustness, and feasi
bility of the methods. Experimental results demonstrate the actual app
licability of the proposed methods in a real two-degrees-of-freedom un
deractuated manipulator. As it will be shown, the proposed variable st
ructure controller provides robustness against both disturbances and p
arametric uncertainties, a characteristic not present on previously pr
oposed PID-based schemes.