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

Kaoru Yamamoto, Yutaka Yamamoto, Silviu Iulian Niculescu

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)3668-3673
Number of pages6
Issue number1
Publication statusPublished - Jul 2017
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering


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