The Control of Nonlinear Oscillatory Systems with Delay

  • Rudolf Pušenjak Faculty of Industrial Engineering Novo mesto / Šegova ulica 112, SI-8000 Novo mesto, Slovenija.
  • Maks Oblak Faculty of Industrial Engineering Novo mesto / Šegova ulica 112, SI-8000 Novo mesto, Slovenija.
DOI: https://doi.org/10.18690/analipazu.3.1.15-24.2013
Keywords: Duffing oscillator, time delay feedback control, osnovna in subharmonična resonanca, EL-P method

Abstract

This paper treats the adaptation of the Extended Lindstedt-Poincare Method with multiple time scales (EL-PM) for analysis of stationary and nonstationary resonances of harmonically excited Duffing oscillator with time delay feedback control. The fundamental and ⅓ subharmonic resonance, respectively of Duffing oscillator with feedback control are analyzed in details. The comparison of stationary resonances with nonstationary resonances due to the slowly varying excitation frequency is presented by means of examples, which are computed by programming tool Mathematica®.

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Author Biographies

Rudolf Pušenjak, Faculty of Industrial Engineering Novo mesto / Šegova ulica 112, SI-8000 Novo mesto, Slovenija.

Novo mesto, Slovenia. E-mail: rudi.pusenjak@teleing.com

Maks Oblak, Faculty of Industrial Engineering Novo mesto / Šegova ulica 112, SI-8000 Novo mesto, Slovenija.

Novo mesto, Slovenia. E-mail: maks.oblak@fl.uni-mb.si

Published
2022-05-19
How to Cite
Pušenjak R., & Oblak M. (2022). The Control of Nonlinear Oscillatory Systems with Delay. Anali PAZU, 3(1), 15-24. https://doi.org/10.18690/analipazu.3.1.15-24.2013
Issue
Vol 3 No 1 (2013): ANALI PAZU
Section
Prispevki