“…By considering the robot as a manipulator with three degrees of freedom, the dynamics of the manipulator can be described by (1), where Θ is the task space variable in XYZ Euler angles, M is the inertia matrix, N is the summation of all the centripetal, Coriolis and gravitational forces, τ Θ,ext is the patient-robot interaction moment in task space coordinates, J is the manipulator Jacobian relating the actuator velocities, l ɺ to task space velocities through (2) and F the compressive forces applied at each actuator.…”