Inverse dynamics of parallel manipulators in the presence of drive singularities

At drive singularities of parallel manipulators the actuators lose control of the end-effector in certain directions. It is shown that if certain conditions related to the consistency of the dynamic equations are satisfied by a proper design of the trajectory, the manipulator can pass through the singular positions while the actuator forces and the system motion remain stable. To find the values of the actuator forces in the neighborhood of the drive singularities, the dynamic equations are modified by using higher order derivative information.