Quasi-period oscillations of relay feedback systems

Guilin Wen; Qing Guo Wang; Tong Heng Lee

doi:10.1016/j.chaos.2006.03.059

Quasi-period oscillations of relay feedback systems

Guilin Wen, Qing Guo Wang, Tong Heng Lee

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

5 Citations (Scopus)

Abstract

This paper presents an analytical method for investigation of the existence and stability of quasi-period oscillations (torus solutions) for a class of relay feedback systems. The idea is to analyze Poincaré map from one switching surface to the next based on the Hopf bifurcation theory of maps. It is shown that there exist quasi-period oscillations in certain relay feedback systems.

Original language	English
Pages (from-to)	405-411
Number of pages	7
Journal	Chaos, Solitons and Fractals
Volume	34
Issue number	2
DOIs	https://doi.org/10.1016/j.chaos.2006.03.059
Publication status	Published - Oct 2007
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
General Mathematics
General Physics and Astronomy
Applied Mathematics

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10.1016/j.chaos.2006.03.059

Cite this

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title = "Quasi-period oscillations of relay feedback systems",

abstract = "This paper presents an analytical method for investigation of the existence and stability of quasi-period oscillations (torus solutions) for a class of relay feedback systems. The idea is to analyze Poincar{\'e} map from one switching surface to the next based on the Hopf bifurcation theory of maps. It is shown that there exist quasi-period oscillations in certain relay feedback systems.",

author = "Guilin Wen and Wang, {Qing Guo} and Lee, {Tong Heng}",

year = "2007",

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doi = "10.1016/j.chaos.2006.03.059",

language = "English",

volume = "34",

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T1 - Quasi-period oscillations of relay feedback systems

AU - Wen, Guilin

AU - Wang, Qing Guo

AU - Lee, Tong Heng

PY - 2007/10

Y1 - 2007/10

N2 - This paper presents an analytical method for investigation of the existence and stability of quasi-period oscillations (torus solutions) for a class of relay feedback systems. The idea is to analyze Poincaré map from one switching surface to the next based on the Hopf bifurcation theory of maps. It is shown that there exist quasi-period oscillations in certain relay feedback systems.

AB - This paper presents an analytical method for investigation of the existence and stability of quasi-period oscillations (torus solutions) for a class of relay feedback systems. The idea is to analyze Poincaré map from one switching surface to the next based on the Hopf bifurcation theory of maps. It is shown that there exist quasi-period oscillations in certain relay feedback systems.

UR - http://www.scopus.com/inward/record.url?scp=34147129069&partnerID=8YFLogxK

U2 - 10.1016/j.chaos.2006.03.059

DO - 10.1016/j.chaos.2006.03.059

M3 - Article

AN - SCOPUS:34147129069

SN - 0960-0779

VL - 34

SP - 405

EP - 411

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 2

ER -

Quasi-period oscillations of relay feedback systems

Abstract

ASJC Scopus subject areas

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