“…The angle i , is measured from the x-axis to the x i -axis and it is a constant parameter in manipulator design. q 1i is measured from the x i -axis to AB , q 2i is defined from the extended line of AB to the line defined by the intersection of the plane of the parallelogram and the x i -z i plane, and q 3i is measured from the y i direction to For inverse kinematic, the position vector p of the mobile platform is given and the problem is to find the joint angles 11 q , 12 q , and 13 q required to bring the mobile platform to the desired position. The solutions for 11 q , 12 q , and 13 q are given by [21].…”