A unified contouring control in the task space

In the contouring control, the trajectory and the tolerance information are specified in the task space. Based on this observation we propose to design the controller in the task space directly. First, by defining the projection map on the cotangent space of the mechanical system the equation of motion is derived in the task space. Then a novel contouring controller is got based on the geometric control theory. The controller is transferred into the joint space for implementation. The simulation results show the performance of the controller.