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The input relegation control (IRC) technique for redundancy resolution is extended to solve the problem of optimizing a scalar performance criteria representing a secondary objective to be accomplished via self motion of the joints. The criteria is defined to be the error between the vector of joint velocities and a new vector of ``corrective` joint velocities, which is minimized in a Eudidean norm sense. The corrective velocities represent a `corrective` action to be applied to the system and axe projected into the null space of the Jacoblan in the solution for the joint velocities. The report demonstrates that there exists a component in the solution for the joint velocities that induces self motion of the joints but is not a function of the ``corrective action``. A technique for eliminating this undesired component is presented. The method is compared to the well known gradient projection technique and its advantages are discussed

New insights into input relegation control for inverse kinematics of a redundant manipulator. Part 2, The optimization of a secondary criteria involving self motion of the joints