Improving intersample behavior in discrete-time system inversion: with application to LTI and LPTV systems

Jurgen C.D. van Zundert (Corresponding author), Wataru Ohnishi, Hiroshi Fujimoto, Tom Oomen

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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.

Original languageEnglish
Article number8902055
Pages (from-to)55-65
Number of pages11
JournalIEEE/ASME Transactions on Mechatronics
Issue number1
Early online date2019
Publication statusPublished - Feb 2020



  • Discrete-time inversion
  • intersample behavior
  • linear periodically time varying (LPTV)
  • linear time invariant (LTI)
  • multirate inversion
  • stable inversion

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