Effects of input shaping on two-dimensional trajectory following

Input shaping is a method of reducing residual vibrations in computer-controlled machines. Input shaping is implemented by convolving the desired command signal with a sequence of impulses. The result of the convolution is then used to drive the system. Because input shaping alters the commanded trajectory, it has had questionable utility for trajectory following applications such as painting, cutting, and scanning. The effects of input shaping on trajectory following were investigated by simulating the response of a fourth-order system with orthogonal modes and conducting experiments on an XY positioning stage. For nearly all values of experimental parameters, input shaping improved trajectory following.