For teleoperation of a surgical robotic system, the control of the surgical robotic system accounts for a limited degree of freedom of a tool in a surgical robotic system. A projection from the greater DOF of the user input commands to the lesser DOF of the tool is included within or as part of the inverse kinematics. The projection identifies feasible motion in the end-effector domain. This projection allows for a general solution that works for tools having different degrees of freedom and will converge on a solution.