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Harmonic balance method, Tsypkin locus, and LPRS : comparison and counterexamples

Year of publication

2020

Authors

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

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.
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Organizations and authors

University of Jyväskylä

Kuznetsov Nikolay

Publication type

Publication format

Article

Parent publication type

Conference

Article type

Other article

Audience

Scientific

Peer-reviewed

Peer-Reviewed

MINEDU's publication type classification code

A4 Article in conference proceedings

Publication channel information

Parent publication name

ECC 2020 : 18th European Control Conference

Conference

European Control Conference

Publisher

IEEE

Pages

781-786

ISBN

978-3-907144-01-5

Open access

Open access in the publisher’s service

No

Self-archived

No

Other information

Fields of science

Mathematics; Electronic, automation and communications engineering, electronics

Keywords

[object Object],[object Object],[object Object],[object Object]

Publication country

United States

Internationality of the publisher

International

Language

English

International co-publication

Yes

Co-publication with a company

No

DOI

10.23919/ecc51009.2020.9143759

The publication is included in the Ministry of Education and Culture’s Publication data collection

Yes