The present invention is a new method to create motions based on the use of rate limited profiles convolved with FIR kernel filters, termed herein as Rate limited Boxcar Aliased IFIR (RBAI) motions, or profiles. The present invention demonstrates a simpler generalized view of the creation of pulse-based profiles based on digital signal processing windowing techniques. The method turns windowing functions into an IFIR filter using boxcar functions for the interpolation. The IFIR filter smoothes the pulse-based profiles, allowing the resultant filter to be applied directly over a simple rate limited base profile. The resulting motion profiles suppress residual vibration over a much wider band of frequencies than previous methods.
STATEMENT CONCERNING FEDERALLY SPONSORED RESEARCH
 The present invention was partially developed with government support under Grant No. DE-FG52-04NA25590 awarded by the Department of Energy. As a result, the Government may have certain rights in this invention.