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

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1 Scopus citations

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.

Original languageEnglish
Title of host publicationEuropean Control Conference 2020, ECC 2020
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages781-786
Number of pages6
ISBN (Electronic)9783907144015
StatePublished - May 2020
Event19th European Control Conference, ECC 2020 - Russia, Saint Petersburg, Russian Federation
Duration: 12 May 202015 May 2020
https://ecc20.eu/

Publication series

NameEuropean Control Conference 2020, ECC 2020

Conference

Conference19th European Control Conference, ECC 2020
Abbreviated titleECC
CountryRussian Federation
CitySaint Petersburg
Period12/05/2015/05/20
Internet address

Scopus subject areas

  • Artificial Intelligence
  • Decision Sciences (miscellaneous)
  • Control and Systems Engineering
  • Mechanical Engineering
  • Computational Mathematics
  • Control and Optimization

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