The control of two manipulators handling a constrained object involves
the control of the position of the object, the internal force used to
grasp the object, and the constraint force due to the constraint surf
ace. The robustness of the controller must be guaranteed when the syst
em faces parameter uncertainties and/or external disturbances. In this
paper, a variable structure control law is proposed. This controller
guarantees the asymptotic convergence of the position of the object, i
nternal force, and constraint force to their desired values when uncer
tainties on the parameters and external disturbances are present in th
e system. Simulation results for two planar robots moving an object al
ong a horizontal plane illustrate the fact that the proposed controlle
r achieves the desired asymptotic tracking.