Cy. Su et Y. Stepanenko, ADAPTIVE VARIABLE-STRUCTURE TRACKING CONTROL FOR CONSTRAINED ROBOTS, IEEE transactions on aerospace and electronic systems, 30(2), 1994, pp. 493-503
The problem of controller design for constrained robots with the consi
deration of computational efficiency is addressed. An efficient adapti
ve variable structure control algorithm, based on a reduced dynamics f
ormulation, is presented for trajectory tracking of an end-effector on
a constrained surface with specified constraint forces. It is shown t
hat the objective can be achieved without exact knowledge of robot dyn
amics and on-line calculation of nonlinear dynamic functions. The cont
rol algorithm is constructed with at most three control parameters to
be adjusted adaptively, and that number is determined independently of
the number of degrees of freedom of the robotic manipulators. A numer
ical example is presented to illustrate the developed method.