One of the key problems in motor control concerns the apparent redunda
ncy of muscles and joints. This biological and kinematic redundancy ha
s been an object of study since long. In this paper we will give a rev
iew of the various approaches which have been proposed to solve this p
roblem. We will give a comparison of the results of these approaches w
ith special emphasis on recent models, which try to deal with this pro
blem by eliminating the number of degrees of freedom. This reduction w
ill be achieved by imposing constraints, which follow from the biomech
anics of the system under study or from some plausible requirements on
the behaviour of these systems in various motor tasks. Since this pro
blem is a key issue both in the control of biological and artificial r
obot manipulators, we will also discuss models from the robotics commu
nity, as well as the possible relevance of biological models for robot
ics.