Relay feedback analysis for a class of servo plants

Zhen Ye; Qing Guo Wang; Chong Lin; Chang Chieh Hang; Andrey E. Barabanov

doi:10.1016/j.jmaa.2006.12.037

Relay feedback analysis for a class of servo plants

Zhen Ye, Qing Guo Wang, Chong Lin, Chang Chieh Hang, Andrey E. Barabanov

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

7 Citations (Scopus)

Abstract

In this paper, a class of second-order servo plants under relay feedback is studied. Complete results on the uniqueness of solutions, existence and stability of the limit cycles are established using the point transformation method. And a numerical method is developed for determining the amplitude and period of a stable limit cycle from the plant parameters.

Original language	English
Pages (from-to)	28-42
Number of pages	15
Journal	Journal of Mathematical Analysis and Applications
Volume	334
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2006.12.037
Publication status	Published - 1 Oct 2007
Externally published	Yes

Keywords

Limit cycles
Relay feedback
Servo plants
Stability analysis

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2006.12.037

Cite this

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title = "Relay feedback analysis for a class of servo plants",

abstract = "In this paper, a class of second-order servo plants under relay feedback is studied. Complete results on the uniqueness of solutions, existence and stability of the limit cycles are established using the point transformation method. And a numerical method is developed for determining the amplitude and period of a stable limit cycle from the plant parameters.",

keywords = "Limit cycles, Relay feedback, Servo plants, Stability analysis",

author = "Zhen Ye and Wang, {Qing Guo} and Chong Lin and Hang, {Chang Chieh} and Barabanov, {Andrey E.}",

year = "2007",

month = oct,

day = "1",

doi = "10.1016/j.jmaa.2006.12.037",

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AU - Ye, Zhen

AU - Wang, Qing Guo

AU - Lin, Chong

AU - Hang, Chang Chieh

AU - Barabanov, Andrey E.

PY - 2007/10/1

Y1 - 2007/10/1

N2 - In this paper, a class of second-order servo plants under relay feedback is studied. Complete results on the uniqueness of solutions, existence and stability of the limit cycles are established using the point transformation method. And a numerical method is developed for determining the amplitude and period of a stable limit cycle from the plant parameters.

AB - In this paper, a class of second-order servo plants under relay feedback is studied. Complete results on the uniqueness of solutions, existence and stability of the limit cycles are established using the point transformation method. And a numerical method is developed for determining the amplitude and period of a stable limit cycle from the plant parameters.

KW - Limit cycles

KW - Relay feedback

KW - Servo plants

KW - Stability analysis

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DO - 10.1016/j.jmaa.2006.12.037

M3 - Article

AN - SCOPUS:34249667194

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SP - 28

EP - 42

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Relay feedback analysis for a class of servo plants

Abstract

Keywords

ASJC Scopus subject areas

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