Analysis of oscillations in discontinuous lurie systems via lprs method

E. D. Akimova; I. M. Boiko; N. V. Kuznetsov; R. N. Mokaev

doi:10.21595/vp.2019.20817

Analysis of oscillations in discontinuous lurie systems via lprs method

E. D. Akimova, I. M. Boiko, N. V. Kuznetsov, R. N. Mokaev

Electrical Engineering

Research output: Contribution to journal › Conference article › peer-review

2 Scopus citations

Abstract

We discuss advantages and limitations of the harmonic balance method and the locus of a perturbed relay system (LPRS) method in the problem of finding periodic oscillations. In this paper we present the results of using harmonic balance method and LPRS method while investigating a 3rd order dynamic system in Lurie form. In this system a symmetric periodic oscillation is found, while other two asymmetric periodic motions are not found using both methods.

Original language	British English
Pages (from-to)	177-181
Number of pages	5
Journal	Vibroengineering Procedia
Volume	25
DOIs	https://doi.org/10.21595/vp.2019.20817
State	Published - 1 Jun 2019
Event	39th International Conference on Vibroengineering - St. Petersburg, Russian Federation Duration: 25 Jun 2019 → 26 Jun 2019

Keywords

Global stability
Harmonic balance method
Periodic oscillations

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10.21595/vp.2019.20817

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title = "Analysis of oscillations in discontinuous lurie systems via lprs method",

abstract = "We discuss advantages and limitations of the harmonic balance method and the locus of a perturbed relay system (LPRS) method in the problem of finding periodic oscillations. In this paper we present the results of using harmonic balance method and LPRS method while investigating a 3rd order dynamic system in Lurie form. In this system a symmetric periodic oscillation is found, while other two asymmetric periodic motions are not found using both methods.",

keywords = "Global stability, Harmonic balance method, Periodic oscillations",

author = "Akimova, {E. D.} and Boiko, {I. M.} and Kuznetsov, {N. V.} and Mokaev, {R. N.}",

note = "Funding Information: This work was supported by the Russian Science Foundation 19-41-02002. Publisher Copyright: {\textcopyright} 2019 E. D. Akimova, et al.; 39th International Conference on Vibroengineering ; Conference date: 25-06-2019 Through 26-06-2019",

year = "2019",

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doi = "10.21595/vp.2019.20817",

language = "British English",

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journal = "Vibroengineering Procedia",

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TY - JOUR

T1 - Analysis of oscillations in discontinuous lurie systems via lprs method

AU - Akimova, E. D.

AU - Boiko, I. M.

AU - Kuznetsov, N. V.

AU - Mokaev, R. N.

PY - 2019/6/1

Y1 - 2019/6/1

N2 - We discuss advantages and limitations of the harmonic balance method and the locus of a perturbed relay system (LPRS) method in the problem of finding periodic oscillations. In this paper we present the results of using harmonic balance method and LPRS method while investigating a 3rd order dynamic system in Lurie form. In this system a symmetric periodic oscillation is found, while other two asymmetric periodic motions are not found using both methods.

AB - We discuss advantages and limitations of the harmonic balance method and the locus of a perturbed relay system (LPRS) method in the problem of finding periodic oscillations. In this paper we present the results of using harmonic balance method and LPRS method while investigating a 3rd order dynamic system in Lurie form. In this system a symmetric periodic oscillation is found, while other two asymmetric periodic motions are not found using both methods.

KW - Global stability

KW - Harmonic balance method

KW - Periodic oscillations

UR - http://www.scopus.com/inward/record.url?scp=85069535530&partnerID=8YFLogxK

U2 - 10.21595/vp.2019.20817

DO - 10.21595/vp.2019.20817

M3 - Conference article

AN - SCOPUS:85069535530

SN - 2345-0533

VL - 25

SP - 177

EP - 181

JO - Vibroengineering Procedia

JF - Vibroengineering Procedia

T2 - 39th International Conference on Vibroengineering

Y2 - 25 June 2019 through 26 June 2019

ER -

Analysis of oscillations in discontinuous lurie systems via lprs method

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Keywords

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