A class of uncertain pendulum-like systems with several nonlinearities

Pingli Lu; Ying Yang; Lin Huang

doi:10.1109/ACC.2007.4282993

A class of uncertain pendulum-like systems with several nonlinearities

Pingli Lu^*, Ying Yang, Lin Huang

^*Corresponding author for this work

Peking University

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

Abstract

This paper considers the existence of cycles of the second kind in uncertain pendulum-like systems with several nonlinearities. Based on Kalman-Yakubovich-Popov (KYP) lemma, which establishes the equivalence between frequency domain inequalities(FDIs) and linear matrix inequalities(LMIs), LMI conditions guaranteeing the existence of cycles of the second kind for such nonlinear systems under parameter uncertainties are established. In virtue of the results, an interesting conclusion is reached that synthesis problem ensuring the existence of cycles of the second kind for such uncertain nonlinear system can be converted into synthesis problem for a system without uncertainties. A practical example about synchronous machine demonstrates the validity of the present approach.

Original language	English
Title of host publication	Proceedings of the 2007 American Control Conference, ACC
Pages	3065-3070
Number of pages	6
DOIs	https://doi.org/10.1109/ACC.2007.4282993
Publication status	Published - 2007
Externally published	Yes
Event	2007 American Control Conference, ACC - New York, NY, United States Duration: 9 Jul 2007 → 13 Jul 2007

Publication series

Name	Proceedings of the American Control Conference
ISSN (Print)	0743-1619

Conference

Conference	2007 American Control Conference, ACC
Country/Territory	United States
City	New York, NY
Period	9/07/07 → 13/07/07

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10.1109/ACC.2007.4282993

Cite this

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title = "A class of uncertain pendulum-like systems with several nonlinearities",

abstract = "This paper considers the existence of cycles of the second kind in uncertain pendulum-like systems with several nonlinearities. Based on Kalman-Yakubovich-Popov (KYP) lemma, which establishes the equivalence between frequency domain inequalities(FDIs) and linear matrix inequalities(LMIs), LMI conditions guaranteeing the existence of cycles of the second kind for such nonlinear systems under parameter uncertainties are established. In virtue of the results, an interesting conclusion is reached that synthesis problem ensuring the existence of cycles of the second kind for such uncertain nonlinear system can be converted into synthesis problem for a system without uncertainties. A practical example about synchronous machine demonstrates the validity of the present approach.",

author = "Pingli Lu and Ying Yang and Lin Huang",

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AU - Lu, Pingli

AU - Yang, Ying

AU - Huang, Lin

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AB - This paper considers the existence of cycles of the second kind in uncertain pendulum-like systems with several nonlinearities. Based on Kalman-Yakubovich-Popov (KYP) lemma, which establishes the equivalence between frequency domain inequalities(FDIs) and linear matrix inequalities(LMIs), LMI conditions guaranteeing the existence of cycles of the second kind for such nonlinear systems under parameter uncertainties are established. In virtue of the results, an interesting conclusion is reached that synthesis problem ensuring the existence of cycles of the second kind for such uncertain nonlinear system can be converted into synthesis problem for a system without uncertainties. A practical example about synchronous machine demonstrates the validity of the present approach.

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M3 - Conference contribution

AN - SCOPUS:46449091790

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SN - 9781424409884

T3 - Proceedings of the American Control Conference

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BT - Proceedings of the 2007 American Control Conference, ACC

T2 - 2007 American Control Conference, ACC

Y2 - 9 July 2007 through 13 July 2007

ER -

A class of uncertain pendulum-like systems with several nonlinearities

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