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A normal form for two-input forward-flat nonlinear discrete-time systems

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  • Johannes Diwold
  • Bernd Kolar
  • Markus Schöberl

Abstract

We show that every forward-flat nonlinear discrete-time system with two inputs can be transformed into a structurally flat normal form by state- and input transformations. This normal form has a triangular structure and allows to read off the flat output, as well as a systematic construction of the parameterisation of all system variables by the flat output and its forward-shifts. For flat continuous-time systems, no comparable normal form exists.

Suggested Citation

  • Johannes Diwold & Bernd Kolar & Markus Schöberl, 2021. "A normal form for two-input forward-flat nonlinear discrete-time systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 52(8), pages 1586-1598, June.
    • Handle: RePEc:taf:tsysxx:v:52:y:2021:i:8:p:1586-1598
    DOI: 10.1080/00207721.2020.1866095
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