Standard

Nonlinear analysis of classical phase-locked loops in signal's phase space. / Kuznetsov, N. V.; Leonov, G. A.; Yuldashev, M. V.; Yuldashev, R. V.

19th IFAC World Congress IFAC 2014, Proceedings. ed. / Edward Boje; Xiaohua Xia. International Federation of Automatic Control, 2014. p. 8253-8258 (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 19).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Kuznetsov, NV, Leonov, GA, Yuldashev, MV & Yuldashev, RV 2014, Nonlinear analysis of classical phase-locked loops in signal's phase space. in E Boje & X Xia (eds), 19th IFAC World Congress IFAC 2014, Proceedings. IFAC Proceedings Volumes (IFAC-PapersOnline), vol. 19, International Federation of Automatic Control, pp. 8253-8258, 19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014, Cape Town, South Africa, 24/08/14. https://doi.org/10.3182/20140824-6-za-1003.02772

APA

Kuznetsov, N. V., Leonov, G. A., Yuldashev, M. V., & Yuldashev, R. V. (2014). Nonlinear analysis of classical phase-locked loops in signal's phase space. In E. Boje, & X. Xia (Eds.), 19th IFAC World Congress IFAC 2014, Proceedings (pp. 8253-8258). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 19). International Federation of Automatic Control. https://doi.org/10.3182/20140824-6-za-1003.02772

Vancouver

Kuznetsov NV, Leonov GA, Yuldashev MV, Yuldashev RV. Nonlinear analysis of classical phase-locked loops in signal's phase space. In Boje E, Xia X, editors, 19th IFAC World Congress IFAC 2014, Proceedings. International Federation of Automatic Control. 2014. p. 8253-8258. (IFAC Proceedings Volumes (IFAC-PapersOnline)). https://doi.org/10.3182/20140824-6-za-1003.02772

Author

Kuznetsov, N. V. ; Leonov, G. A. ; Yuldashev, M. V. ; Yuldashev, R. V. / Nonlinear analysis of classical phase-locked loops in signal's phase space. 19th IFAC World Congress IFAC 2014, Proceedings. editor / Edward Boje ; Xiaohua Xia. International Federation of Automatic Control, 2014. pp. 8253-8258 (IFAC Proceedings Volumes (IFAC-PapersOnline)).

BibTeX

@inproceedings{4444ce88fe3e4f7f92176dc3de6e989d,
title = "Nonlinear analysis of classical phase-locked loops in signal's phase space",
abstract = "Discovery of undesirable hidden oscillations, which cannot be found by the standard simulation, in phase-locked loop (PLL) showed the importance of consideration of nonlinear models and development of rigorous analytical methods for their analysis. In this paper for various signal waveforms, analytical computation of multiplier/mixer phase-detector characteristics is demonstrated, and nonlinear dynamical model of classical analog PLL is derived. Approaches to the rigorous nonlinear analysis of classical analog PLL are discussed.",
keywords = "Coexisting attractors, Hidden attractor, Hidden oscillations, Multistability, Nonlinear analysis, Phase detector characteristic, Phase-locked loop (PLL), Slow-fast systems",
author = "Kuznetsov, {N. V.} and Leonov, {G. A.} and Yuldashev, {M. V.} and Yuldashev, {R. V.}",
note = "Publisher Copyright: {\textcopyright} IFAC.; 19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014 ; Conference date: 24-08-2014 Through 29-08-2014",
year = "2014",
doi = "10.3182/20140824-6-za-1003.02772",
language = "English",
series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",
publisher = "International Federation of Automatic Control",
pages = "8253--8258",
editor = "Edward Boje and Xiaohua Xia",
booktitle = "19th IFAC World Congress IFAC 2014, Proceedings",
address = "Austria",

}

RIS

TY - GEN

T1 - Nonlinear analysis of classical phase-locked loops in signal's phase space

AU - Kuznetsov, N. V.

AU - Leonov, G. A.

AU - Yuldashev, M. V.

AU - Yuldashev, R. V.

N1 - Publisher Copyright: © IFAC.

PY - 2014

Y1 - 2014

N2 - Discovery of undesirable hidden oscillations, which cannot be found by the standard simulation, in phase-locked loop (PLL) showed the importance of consideration of nonlinear models and development of rigorous analytical methods for their analysis. In this paper for various signal waveforms, analytical computation of multiplier/mixer phase-detector characteristics is demonstrated, and nonlinear dynamical model of classical analog PLL is derived. Approaches to the rigorous nonlinear analysis of classical analog PLL are discussed.

AB - Discovery of undesirable hidden oscillations, which cannot be found by the standard simulation, in phase-locked loop (PLL) showed the importance of consideration of nonlinear models and development of rigorous analytical methods for their analysis. In this paper for various signal waveforms, analytical computation of multiplier/mixer phase-detector characteristics is demonstrated, and nonlinear dynamical model of classical analog PLL is derived. Approaches to the rigorous nonlinear analysis of classical analog PLL are discussed.

KW - Coexisting attractors

KW - Hidden attractor

KW - Hidden oscillations

KW - Multistability

KW - Nonlinear analysis

KW - Phase detector characteristic

KW - Phase-locked loop (PLL)

KW - Slow-fast systems

UR - http://www.scopus.com/inward/record.url?scp=84929815471&partnerID=8YFLogxK

U2 - 10.3182/20140824-6-za-1003.02772

DO - 10.3182/20140824-6-za-1003.02772

M3 - Conference contribution

T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)

SP - 8253

EP - 8258

BT - 19th IFAC World Congress IFAC 2014, Proceedings

A2 - Boje, Edward

A2 - Xia, Xiaohua

PB - International Federation of Automatic Control

T2 - 19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014

Y2 - 24 August 2014 through 29 August 2014

ER -

ID: 7062898