H. Arai et al., DYNAMIC CONTROL OF A MANIPULATOR WITH PASSIVE JOINTS IN OPERATIONAL SPACE, IEEE transactions on robotics and automation, 9(1), 1993, pp. 85-93
We present a method to control a manipulator with passive joints, whic
h have no actuators, in operational space. The equation of motion is d
escribed in terms of operational coordinates. The coordinates are sepa
rated into active and passive components. The acceleration of the acti
ve components can be arbitrarily adjusted by using the coupling charac
teristics of manipulator dynamics. This method is also extended to pat
h tracking control of a manipulator with passive joints. A desired pat
h is geometrically specified in operational space. The position of the
manipulator is controlled to follow the path. In this method, a path
coordinate system based on the path is defined in operational space. T
he path coordinates consist of a component parallel to the path and co
mponents normal to the path. The acceleration of the components normal
to the path is controlled according to feedback based on tracking err
or by using the dynamic coupling among the components. This in turn ke
eps the manipulator on the path. The effectiveness of the method is ve
rified by experiments using a two-degree-of-freedom manipulator with a
passive joint.