Equivalence of discretizations of analog controllers

Guofeng Zhang, Xiang Chen, Tongwen Chen

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

Abstract

This paper first introduces the fractional-order hold transformation that, together with the generalized bilinear transformation recently proposed in Zhang et al. [2007], contains all commonly used discretization methods as special cases. In light of this, it further shows that at fast sampling, all the digital approximations of an analog controller are equivalent in the sense of $ell-p$ induced norm for $pin [1, infty]$ when the analog controller is stable or in the sense of some gap metric even when it is unstable.
Original languageEnglish
Title of host publicationProceedings of the 17th World Congress, International Federation of Automatic Control, IFAC
Volume17
Edition1 PART 1
DOIs
Publication statusPublished - 1 Dec 2008
Event17th World Congress, International Federation of Automatic Control, IFAC - Seoul, Korea, Republic of
Duration: 6 Jul 200811 Jul 2008

Conference

Conference17th World Congress, International Federation of Automatic Control, IFAC
CountryKorea, Republic of
CitySeoul
Period6/07/0811/07/08

Keywords

  • Digital implementation
  • Stability of hybrid systems
  • Time-varying systems

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this