Abstract
From the background information supplied by the inventors, news correspondents o btained the followingquote: “Industrial robotic arms have been used in manufact uring processes for decades, and range in sizefrom smaller than a human arm-wit h payloads as small as a few pounds-up to many times the size of anentire human with payloads of hundreds or thousands of pounds, which can also be many feet i n lengthand width. Typically, robot arms consist of a number of mechanical link s connected by rotating jointsthat can be precisely controlled, and a controlle r that coordinates all of the joints to achieve trajectoriesthat are determined by an industrial engineer for a specific application.