On Loeb's criterion of orbital stability of self-excited periodic motions

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Abstract

Loeb's criterion of orbital stability of periodic motions [1] is simple and convenient. It is based on the relationships between the Nyquist plot of the linear part of a nonlinear system and the describing function (DF) of the nonlinearity. However, as shown in the present paper, the original proof is not flawless, as it is based on one assumption, which does not hold. A proof based on the dynamic harmonic balance (DHB) principle and further investigations into this criterion are offered in the present paper.

Original languageBritish English
Title of host publication2018 15th International Workshop on Variable Structure Systems, VSS 2018
PublisherIEEE Computer Society
Pages464-469
Number of pages6
ISBN (Print)9781538664391
DOIs
StatePublished - 10 Sep 2018
Event15th International Workshop on Variable Structure Systems, VSS 2018 - Graz, Austria
Duration: 9 Jul 201811 Jul 2018

Publication series

NameProceedings of IEEE International Workshop on Variable Structure Systems
Volume2018-July
ISSN (Print)2165-4816
ISSN (Electronic)2165-4824

Conference

Conference15th International Workshop on Variable Structure Systems, VSS 2018
Country/TerritoryAustria
CityGraz
Period9/07/1811/07/18

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