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Analysis of oscillations in relay feedback systems with fractional-order integrating plants

Rezaei, D ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1115/1.4037103
  3. Abstract:
  4. Oscillatory behavior and transfer properties of relay feedback systems with a linear plant including a fractional-order integrator are studied in this paper. An expression for system response in the time domain is obtained by means of short memory principle, Poincare return map, and Mittag-Leffler functions. On the basis of this expression, the frequency of self-excited oscillations is approximated. In addition, the locus of perturbed relay system (LPRS) is derived to analyze the input-output properties of the relay system. The presented analysis is supported by a numerical example. Copyright © 2017 by ASME
  5. Keywords:
  6. Numerical methods ; Fractional-order integrator ; Input-output properties ; Integrating plant ; Mittag-leffler functions ; Oscillatory behaviors ; Relay feedback systems ; Self excited oscillation ; Transfer properties ; Relay control systems
  7. Source: Journal of Computational and Nonlinear Dynamics ; Volume 12, Issue 5 , 2017 ; 15551415 (ISSN)
  8. URL: http://computationalnonlinear.asmedigitalcollection.asme.org/article.aspx?articleid=2634525