The Control of Nonlinear Oscillatory Systems with Delay

Authors

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

Author Biographies

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

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Published

19.05.2022

Issue

Vol. 3 No. 1 (2013): ANALI PAZU

Section

Prispevki

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

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