Analysis of orbital stability in lure system, based on dynamic harmonic balance

Igor Boiko

doi:10.1016/j.jfranklin.2017.05.012

Analysis of orbital stability in lure system, based on dynamic harmonic balance

Igor Boiko

Electrical Engineering

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

A criterion of orbital stability of a limit cycle in a Lure system is formulated using the dynamic harmonic balance (DHB) principle and the describing function (DF) method. It is demonstrated that a more precise formulation of orbital stability than that provided by the Loeb's criterion can be produced. This enhancement is achieved through elimination of the assumption that is used in Loeb's criterion derivation. It is demonstrated in the paper that this assumption does not hold. An example of analysis is given.

Original language	British English
Pages (from-to)	4826-4837
Number of pages	12
Journal	Journal of the Franklin Institute
Volume	354
Issue number	12
DOIs	https://doi.org/10.1016/j.jfranklin.2017.05.012
State	Published - Aug 2017

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10.1016/j.jfranklin.2017.05.012

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title = "Analysis of orbital stability in lure system, based on dynamic harmonic balance",

abstract = "A criterion of orbital stability of a limit cycle in a Lure system is formulated using the dynamic harmonic balance (DHB) principle and the describing function (DF) method. It is demonstrated that a more precise formulation of orbital stability than that provided by the Loeb's criterion can be produced. This enhancement is achieved through elimination of the assumption that is used in Loeb's criterion derivation. It is demonstrated in the paper that this assumption does not hold. An example of analysis is given.",

author = "Igor Boiko",

note = "Publisher Copyright: {\textcopyright} 2017 The Franklin Institute",

year = "2017",

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AU - Boiko, Igor

PY - 2017/8

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N2 - A criterion of orbital stability of a limit cycle in a Lure system is formulated using the dynamic harmonic balance (DHB) principle and the describing function (DF) method. It is demonstrated that a more precise formulation of orbital stability than that provided by the Loeb's criterion can be produced. This enhancement is achieved through elimination of the assumption that is used in Loeb's criterion derivation. It is demonstrated in the paper that this assumption does not hold. An example of analysis is given.

AB - A criterion of orbital stability of a limit cycle in a Lure system is formulated using the dynamic harmonic balance (DHB) principle and the describing function (DF) method. It is demonstrated that a more precise formulation of orbital stability than that provided by the Loeb's criterion can be produced. This enhancement is achieved through elimination of the assumption that is used in Loeb's criterion derivation. It is demonstrated in the paper that this assumption does not hold. An example of analysis is given.

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U2 - 10.1016/j.jfranklin.2017.05.012

DO - 10.1016/j.jfranklin.2017.05.012

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AN - SCOPUS:85019542715

SN - 0016-0032

VL - 354

SP - 4826

EP - 4837

JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

IS - 12

ER -

Analysis of orbital stability in lure system, based on dynamic harmonic balance

Abstract

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