Improving Intersample Behavior in Discrete-Time System Inversion: With Application to LTI and LPTV Systems

Discrete-time system inversion for perfect tracking goes at the expense of intersample behavior. The aim of this article is the development of a discrete-time inversion approach that improves continuous-time performance by also addressing the intersample behavior. The approach balances the on-sample and intersample behavior and provides a whole range of new solutions, with stable inversion and multirate inversion as special cases. The approach is successfully applied to a linear periodically time-varying system in both simulations and experiments. The approach improves the intersample behavior through discrete-time system inversion and outperforms existing approaches.