A new LMI criterion for the realization of limit cycle-free direct form digital filters with saturation arithmetic

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18 Citations (Scopus)

Abstract

In this paper, we propose a new criterion in the form of linear matrix in-equality (LMI) for the elimination of limit cycles in direct form digital filters with saturation arithmetic and external interference. The proposed criterion not only guarantees asymptotic stability, but also reduces the effect of external interference to an l 2 - l induced norm constraint. The criterion can be checked readily by using some standard numerical packages. An illustrative example is given to demonstrate the effectiveness of the proposed criterion.

Original languageEnglish
Pages (from-to)1453-1461
Number of pages9
JournalInternational Journal of Innovative Computing, Information and Control
Volume8
Issue number2
Publication statusPublished - 2012 Feb

Keywords

  • Asymptotic stability
  • Digital filters
  • Finite wordlength effects
  • Linear matrix inequality (LMI)
  • l - l approach

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Information Systems
  • Computational Theory and Mathematics

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