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Harmonic balance method, Tsypkin locus, and LPRS : comparison and counterexamples. / Kuznetsov, N. V.; Mokaev, R. N.; Akimova, E. D.; Boiko, I. M.

European Control Conference 2020, ECC 2020. Institute of Electrical and Electronics Engineers Inc., 2020. p. 781-786 9143759 (European Control Conference 2020, ECC 2020).

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

Harvard

Kuznetsov, NV, Mokaev, RN, Akimova, ED & Boiko, IM 2020, Harmonic balance method, Tsypkin locus, and LPRS: comparison and counterexamples. in European Control Conference 2020, ECC 2020., 9143759, European Control Conference 2020, ECC 2020, Institute of Electrical and Electronics Engineers Inc., pp. 781-786, 19th European Control Conference, ECC 2020, Saint Petersburg, Russian Federation, 12/05/20.

APA

Kuznetsov, N. V., Mokaev, R. N., Akimova, E. D., & Boiko, I. M. (2020). Harmonic balance method, Tsypkin locus, and LPRS: comparison and counterexamples. In European Control Conference 2020, ECC 2020 (pp. 781-786). [9143759] (European Control Conference 2020, ECC 2020). Institute of Electrical and Electronics Engineers Inc..

Vancouver

Kuznetsov NV, Mokaev RN, Akimova ED, Boiko IM. Harmonic balance method, Tsypkin locus, and LPRS: comparison and counterexamples. In European Control Conference 2020, ECC 2020. Institute of Electrical and Electronics Engineers Inc. 2020. p. 781-786. 9143759. (European Control Conference 2020, ECC 2020).

Author

Kuznetsov, N. V. ; Mokaev, R. N. ; Akimova, E. D. ; Boiko, I. M. / Harmonic balance method, Tsypkin locus, and LPRS : comparison and counterexamples. European Control Conference 2020, ECC 2020. Institute of Electrical and Electronics Engineers Inc., 2020. pp. 781-786 (European Control Conference 2020, ECC 2020).

BibTeX

@inproceedings{b6a1d746a3404e2ab3c6f48536af0371,
title = "Harmonic balance method, Tsypkin locus, and LPRS: comparison and counterexamples",
abstract = "Harmonic balance method is an approximate method for analyzing the existence of periodic solutions and it is widely used in analysis of global stability of nonlinear control systems. For the relay systems the harmonic balance method has an elegant form admitting various further refinement. In this work we consider its extensions known as the Tsypkin method and the locus of a perturbed relay system (LPRS) method. Advantages and limitations of these approaches are illustrated on the example of Keldysh model.",
author = "Kuznetsov, {N. V.} and Mokaev, {R. N.} and Akimova, {E. D.} and Boiko, {I. M.}",
note = "Funding Information: *The work is supported by the Leading Scientific Schools of Russia project NSh-2624.2020.1 (sections 1-2) and the Russian Science Foundation project 19-41-02002 (section 3) 1N.V. Kuznetsov is with the Department of Applied Cybernetics at Saint-Petersburg State University, Faculty of Information Technology at the University of Jyv{\"a}skyl{\"a}, and Institute for Problems in Mechanical Engineering RAS, Russia nkuznetsov239@gmail.com 2E.D. Akimova, R.N. Mokaev are with the Department of Applied Cybernetics at Saint-Petersburg State University, Faculty of Information Technology at the University of Jyv{\"a}skyl{\"a} 3I.M. Boiko is with the Department of Electrical and Computer Engineering, Petroleum Institute, Khalifa University of Science and Technology (UAE). Publisher Copyright: {\textcopyright} 2020 EUCA. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; 19th European Control Conference, ECC 2020 ; Conference date: 12-05-2020 Through 15-05-2020",
year = "2020",
month = may,
language = "English",
series = "European Control Conference 2020, ECC 2020",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "781--786",
booktitle = "European Control Conference 2020, ECC 2020",
address = "United States",
url = "https://ecc20.eu/",

}

RIS

TY - GEN

T1 - Harmonic balance method, Tsypkin locus, and LPRS

T2 - 19th European Control Conference, ECC 2020

AU - Kuznetsov, N. V.

AU - Mokaev, R. N.

AU - Akimova, E. D.

AU - Boiko, I. M.

N1 - Funding Information: *The work is supported by the Leading Scientific Schools of Russia project NSh-2624.2020.1 (sections 1-2) and the Russian Science Foundation project 19-41-02002 (section 3) 1N.V. Kuznetsov is with the Department of Applied Cybernetics at Saint-Petersburg State University, Faculty of Information Technology at the University of Jyväskylä, and Institute for Problems in Mechanical Engineering RAS, Russia nkuznetsov239@gmail.com 2E.D. Akimova, R.N. Mokaev are with the Department of Applied Cybernetics at Saint-Petersburg State University, Faculty of Information Technology at the University of Jyväskylä 3I.M. Boiko is with the Department of Electrical and Computer Engineering, Petroleum Institute, Khalifa University of Science and Technology (UAE). Publisher Copyright: © 2020 EUCA. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/5

Y1 - 2020/5

N2 - Harmonic balance method is an approximate method for analyzing the existence of periodic solutions and it is widely used in analysis of global stability of nonlinear control systems. For the relay systems the harmonic balance method has an elegant form admitting various further refinement. In this work we consider its extensions known as the Tsypkin method and the locus of a perturbed relay system (LPRS) method. Advantages and limitations of these approaches are illustrated on the example of Keldysh model.

AB - Harmonic balance method is an approximate method for analyzing the existence of periodic solutions and it is widely used in analysis of global stability of nonlinear control systems. For the relay systems the harmonic balance method has an elegant form admitting various further refinement. In this work we consider its extensions known as the Tsypkin method and the locus of a perturbed relay system (LPRS) method. Advantages and limitations of these approaches are illustrated on the example of Keldysh model.

UR - http://www.scopus.com/inward/record.url?scp=85090135380&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:85090135380

T3 - European Control Conference 2020, ECC 2020

SP - 781

EP - 786

BT - European Control Conference 2020, ECC 2020

PB - Institute of Electrical and Electronics Engineers Inc.

Y2 - 12 May 2020 through 15 May 2020

ER -

ID: 71009070