Some necessary conditions on output redefinition in non-minimum phase systems

Abstract

This paper derives some necessary conditions for output redefinition. It is shown that for defining a new output it should contain at least one linear term to have a well-defined relative degree. In addition, it is presented that by a static transformation on system output, relative degree and the zero dynamics of the system are not changed. Therefore, output signal is not enough for output redefinition to convert a non-minimum phase system to a minimum phase system and availability of required state variables or at least observability of the states is necessary.

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Correspondence to Fatemeh Jahangiri.

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Jahangiri, F., Talebi, H.A. & Menhaj, M.B. Some necessary conditions on output redefinition in non-minimum phase systems. Int. J. Dynam. Control 9, 173–178 (2021). https://doi.org/10.1007/s40435-020-00630-1

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Keywords

  • Output redefinition
  • Relative degree
  • Zero dynamics
  • Output signal
  • Non-minimum phase systems