A Renewed Look at Zeros of Sampled-Data Systems—From the Lifting Viewpoint

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This paper studies the properties of the zeros of sampled-data systems. Since the basic study by Åström et al. that showed there can exist unstable zeros that have no relevance to the original continuous-time plant, there have been various studies that circumvent this effect by introducing various techniques. The present paper studies zeros of sampled-data systems from the standpoint of lifting. We will show the following: a) such unstable zeros are an artifact induced by the combination of the zero-order hold and the synchronous sampling; b) such zeros disappear when considered in the lifted plant; c) further, such an effect can be bypassed by a multirate technique. We will also review relationships with the existing techniques such as two-delay control. Analysis of some examples is given.


  • Kaoru Yamamoto
  • Yutaka Yamamoto
  • Silviu Iulian Niculescu
Enheter & grupper
Externa organisationer
  • Kyoto University
  • University of Paris-Sud

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Reglerteknik


Sidor (från-till)3668-3673
Antal sidor6
Utgåva nummer1
StatusPublished - 2017 jul 1
Peer review utfördJa