A kind of stability analysis method for resonant vibratory gyroscope

Li Yan; Shangchun Fan

doi:10.1109/CCDC.2015.7162000

A kind of stability analysis method for resonant vibratory gyroscope

School of Instrumentation and Optoelectronic Engineering

China University of Mining & Technology, Beijing

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

A Kind of stability analysis method for resonant vibratory gyroscope based on Mathieu equation is studied in this paper. The principle of resonant vibratory gyroscope is described by Mathieu equation. The suggested stability analysis method using periodic Lyapunov function derive stability criterion of Mathieu equation, which obtained a bound on the parameters. Further, to narrower the limits of gyroscope parameters in practice, numerical analysis is considered. Finally, in order to validate of the proposed stability analysis method, the gyroscope parameters followed stability analysis are designed. This study maybe helpful for the design and optimization of resonant sensors, especially operational principle is detecting resonant frequency shift.

Original language	English
Title of host publication	Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	6537-6540
Number of pages	4
ISBN (Electronic)	9781479970179
DOIs	https://doi.org/10.1109/CCDC.2015.7162000
State	Published - 17 Jul 2015
Event	27th Chinese Control and Decision Conference, CCDC 2015 - Qingdao, China Duration: 23 May 2015 → 25 May 2015

Publication series

Name	Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015

Conference

Conference	27th Chinese Control and Decision Conference, CCDC 2015
Country/Territory	China
City	Qingdao
Period	23/05/15 → 25/05/15

Keywords

Mathieu equation
resonant vibratory gyroscope
stability analysis method

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10.1109/CCDC.2015.7162000

Cite this

Yan, L., & Fan, S. (2015). A kind of stability analysis method for resonant vibratory gyroscope. In Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015 (pp. 6537-6540). Article 7162000 (Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CCDC.2015.7162000

@inproceedings{805f062189ee494abdbf8a7dd7eca4a1,

title = "A kind of stability analysis method for resonant vibratory gyroscope",

abstract = "A Kind of stability analysis method for resonant vibratory gyroscope based on Mathieu equation is studied in this paper. The principle of resonant vibratory gyroscope is described by Mathieu equation. The suggested stability analysis method using periodic Lyapunov function derive stability criterion of Mathieu equation, which obtained a bound on the parameters. Further, to narrower the limits of gyroscope parameters in practice, numerical analysis is considered. Finally, in order to validate of the proposed stability analysis method, the gyroscope parameters followed stability analysis are designed. This study maybe helpful for the design and optimization of resonant sensors, especially operational principle is detecting resonant frequency shift.",

keywords = "Mathieu equation, resonant vibratory gyroscope, stability analysis method",

author = "Li Yan and Shangchun Fan",

note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; 27th Chinese Control and Decision Conference, CCDC 2015 ; Conference date: 23-05-2015 Through 25-05-2015",

year = "2015",

month = jul,

day = "17",

doi = "10.1109/CCDC.2015.7162000",

language = "英语",

series = "Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "6537--6540",

booktitle = "Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015",

address = "美国",

}

Yan, L & Fan, S 2015, A kind of stability analysis method for resonant vibratory gyroscope. in Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015., 7162000, Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015, Institute of Electrical and Electronics Engineers Inc., pp. 6537-6540, 27th Chinese Control and Decision Conference, CCDC 2015, Qingdao, China, 23/05/15. https://doi.org/10.1109/CCDC.2015.7162000

A kind of stability analysis method for resonant vibratory gyroscope. / Yan, Li ; Fan, Shangchun.
Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015. Institute of Electrical and Electronics Engineers Inc., 2015. p. 6537-6540 7162000 (Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - A kind of stability analysis method for resonant vibratory gyroscope

AU - Yan, Li

AU - Fan, Shangchun

PY - 2015/7/17

Y1 - 2015/7/17

N2 - A Kind of stability analysis method for resonant vibratory gyroscope based on Mathieu equation is studied in this paper. The principle of resonant vibratory gyroscope is described by Mathieu equation. The suggested stability analysis method using periodic Lyapunov function derive stability criterion of Mathieu equation, which obtained a bound on the parameters. Further, to narrower the limits of gyroscope parameters in practice, numerical analysis is considered. Finally, in order to validate of the proposed stability analysis method, the gyroscope parameters followed stability analysis are designed. This study maybe helpful for the design and optimization of resonant sensors, especially operational principle is detecting resonant frequency shift.

AB - A Kind of stability analysis method for resonant vibratory gyroscope based on Mathieu equation is studied in this paper. The principle of resonant vibratory gyroscope is described by Mathieu equation. The suggested stability analysis method using periodic Lyapunov function derive stability criterion of Mathieu equation, which obtained a bound on the parameters. Further, to narrower the limits of gyroscope parameters in practice, numerical analysis is considered. Finally, in order to validate of the proposed stability analysis method, the gyroscope parameters followed stability analysis are designed. This study maybe helpful for the design and optimization of resonant sensors, especially operational principle is detecting resonant frequency shift.

KW - Mathieu equation

KW - resonant vibratory gyroscope

KW - stability analysis method

UR - https://www.scopus.com/pages/publications/84945581285

U2 - 10.1109/CCDC.2015.7162000

DO - 10.1109/CCDC.2015.7162000

M3 - 会议稿件

AN - SCOPUS:84945581285

T3 - Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015

SP - 6537

EP - 6540

BT - Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 27th Chinese Control and Decision Conference, CCDC 2015

Y2 - 23 May 2015 through 25 May 2015

ER -

A kind of stability analysis method for resonant vibratory gyroscope

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