Stability criteria and bounds for limit cycles of relay feedback systems

Chong Lin; Qing Guo Wang; Tong Heng Lee; Ai Poh Loh; Keng Huat Kwek

doi:10.1080/14689360410001695395

Stability criteria and bounds for limit cycles of relay feedback systems

Chong Lin
, Qing Guo Wang
, Tong Heng Lee
, Ai Poh Loh
, Keng Huat Kwek

National University of Singapore

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

4 Citations (Scopus)

Abstract

This paper considers the problems of determining the stability and computing the bounds for maintaining the stability of limit cycles of linear systems under relay feedback. It derives a stability criterion and presents a region such that every trajectory starting from this region will converge to the limit cycle. The deduction is based on the estimation on the Poincare map which appears as a non-linear function.

Original language	English
Pages (from-to)	161-170
Number of pages	10
Journal	Dynamical Systems
Volume	19
Issue number	2
DOIs	https://doi.org/10.1080/14689360410001695395
Publication status	Published - Jun 2004
Externally published	Yes

ASJC Scopus subject areas

General Mathematics
Computer Science Applications

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10.1080/14689360410001695395

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title = "Stability criteria and bounds for limit cycles of relay feedback systems",

abstract = "This paper considers the problems of determining the stability and computing the bounds for maintaining the stability of limit cycles of linear systems under relay feedback. It derives a stability criterion and presents a region such that every trajectory starting from this region will converge to the limit cycle. The deduction is based on the estimation on the Poincare map which appears as a non-linear function.",

author = "Chong Lin and Wang, \{Qing Guo\} and Lee, \{Tong Heng\} and Loh, \{Ai Poh\} and Kwek, \{Keng Huat\}",

year = "2004",

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language = "English",

volume = "19",

pages = "161--170",

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T1 - Stability criteria and bounds for limit cycles of relay feedback systems

AU - Lin, Chong

AU - Wang, Qing Guo

AU - Lee, Tong Heng

AU - Loh, Ai Poh

AU - Kwek, Keng Huat

PY - 2004/6

Y1 - 2004/6

N2 - This paper considers the problems of determining the stability and computing the bounds for maintaining the stability of limit cycles of linear systems under relay feedback. It derives a stability criterion and presents a region such that every trajectory starting from this region will converge to the limit cycle. The deduction is based on the estimation on the Poincare map which appears as a non-linear function.

AB - This paper considers the problems of determining the stability and computing the bounds for maintaining the stability of limit cycles of linear systems under relay feedback. It derives a stability criterion and presents a region such that every trajectory starting from this region will converge to the limit cycle. The deduction is based on the estimation on the Poincare map which appears as a non-linear function.

UR - https://www.scopus.com/pages/publications/2942517761

U2 - 10.1080/14689360410001695395

DO - 10.1080/14689360410001695395

M3 - Article

AN - SCOPUS:2942517761

SN - 1468-9367

VL - 19

SP - 161

EP - 170

JO - Dynamical Systems

JF - Dynamical Systems

IS - 2

ER -

Stability criteria and bounds for limit cycles of relay feedback systems

Abstract

ASJC Scopus subject areas

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