Ra. Alashoor et al., ROBUST ADAPTIVE CONTROLLER-DESIGN FOR FLEXIBLE JOINT MANIPULATORS, Robotics and computer-integrated manufacturing, 9(2), 1992, pp. 101-112
In this paper the control problem for robot manipulators with flexible
joints is considered. A reduced-order flexible joint model is constru
cted based on a singular perturbation formulation of the manipulator e
quations of motion. The concept of an integral manifold is utilized to
construct the dynamics of a slow subsystem. A fast subsystem is const
ructed to represent the fast dynamics of the elastic forces at the joi
nts. A composite control scheme is developed based on on-line identifi
cation of the manipulator parameters which takes into account the effe
ct of certain unmodeled dynamics and parameter variations. Stability a
nalysis of the resulting closed-loop full-order system is presented. S
imulation results for a single link flexible joint manipulator are giv
en to illustrate the applicability of the proposed algorithm.