Digital control as source of chaotic behavior

Gábor Csernák, Gábor Stépán

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

In the present paper, we introduce and analyze a mechanical system, in which the digital implementation of a linear control loop may lead to chaotic behavior. The amplitude of such oscillations is usually very small, this is why these are called micro-chaotic vibrations. As a consequence of the digital effects, i.e. the sampling, the processing delay and the round-off error, the behavior of the system can be described by a piecewise linear map, the micro-chaos map. We examine a 2D version of the micro-chaos map and prove that the map is chaotic.

Original languageEnglish
Pages (from-to)1365-1378
Number of pages14
JournalInternational Journal of Bifurcation and Chaos
Volume20
Issue number5
DOIs
Publication statusPublished - May 2010

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Keywords

  • 2D map
  • Digital control
  • micro-chaos

ASJC Scopus subject areas

  • Modelling and Simulation
  • Engineering (miscellaneous)
  • General
  • Applied Mathematics

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