Performance Measures For Input Shaping and Command Generation

Abstract

Many performance measures for input shaping and command generation have appeared in the literature, but very rarely have these measures been critically evaluated or thoroughly discussed. In this paper we review and discuss a number of key measures of residual vibration. These measures are clarified, and mathematical and graphical interpretations of these measures are developed. In addition, a set of energy-based vibration measures are presented for use in even the most general situations, such as measuring the vibration of a nonlinear, multimode system in response to an arbitrary command.