Output feedback controller for cycle slipping in phase-controlled system

Pingli Lu; Ying Yang; Lin Huang

doi:10.1109/CDC.2007.4434306

Output feedback controller for cycle slipping in phase-controlled system

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

1 Citation (Scopus)

Abstract

This paper concerns the problem of cycle slipping for continuous phase-controlled systems with periodic nonlinearity. The number of slipped cycles is an important property in transient mode of such nonlinear systems. Based on Yakubovich-Kalman Lemma, LMI characterizations are derived for the number of slipped cycles of such systems and an efficient way for the estimation of the number is proposed by solving a generalized eigenvalue minimization problem. Furthermore, in virtue of these results, a dynamic output feedback controller is designed to guarantee the nonexistence of cycle slipping. As a result, the transient performance of phasecontrolled system is improved. A concrete application to phaselocked loop (PLL) shows the applicability and validity of the proposed approach.

Original language	English
Title of host publication	Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1646-1651
Number of pages	6
ISBN (Print)	1424414989, 9781424414987
DOIs	https://doi.org/10.1109/CDC.2007.4434306
Publication status	Published - 2007
Externally published	Yes
Event	46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States Duration: 12 Dec 2007 → 14 Dec 2007

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	46th IEEE Conference on Decision and Control 2007, CDC
Country/Territory	United States
City	New Orleans, LA
Period	12/12/07 → 14/12/07

Access to Document

10.1109/CDC.2007.4434306

Cite this

Lu, P., Yang, Y., & Huang, L. (2007). Output feedback controller for cycle slipping in phase-controlled system. In Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC (pp. 1646-1651). Article 4434306 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2007.4434306

@inproceedings{6ca3a38c4d7845f89952d9fb7e59c069,

title = "Output feedback controller for cycle slipping in phase-controlled system",

abstract = "This paper concerns the problem of cycle slipping for continuous phase-controlled systems with periodic nonlinearity. The number of slipped cycles is an important property in transient mode of such nonlinear systems. Based on Yakubovich-Kalman Lemma, LMI characterizations are derived for the number of slipped cycles of such systems and an efficient way for the estimation of the number is proposed by solving a generalized eigenvalue minimization problem. Furthermore, in virtue of these results, a dynamic output feedback controller is designed to guarantee the nonexistence of cycle slipping. As a result, the transient performance of phasecontrolled system is improved. A concrete application to phaselocked loop (PLL) shows the applicability and validity of the proposed approach.",

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

year = "2007",

doi = "10.1109/CDC.2007.4434306",

language = "English",

isbn = "1424414989",

series = "Proceedings of the IEEE Conference on Decision and Control",

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

pages = "1646--1651",

booktitle = "Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC",

address = "United States",

note = "46th IEEE Conference on Decision and Control 2007, CDC ; Conference date: 12-12-2007 Through 14-12-2007",

}

Lu, P, Yang, Y & Huang, L 2007, Output feedback controller for cycle slipping in phase-controlled system. in Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC., 4434306, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 1646-1651, 46th IEEE Conference on Decision and Control 2007, CDC, New Orleans, LA, United States, 12/12/07. https://doi.org/10.1109/CDC.2007.4434306

Output feedback controller for cycle slipping in phase-controlled system. / Lu, Pingli; Yang, Ying; Huang, Lin.
Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. Institute of Electrical and Electronics Engineers Inc., 2007. p. 1646-1651 4434306 (Proceedings of the IEEE Conference on Decision and Control).

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

TY - GEN

T1 - Output feedback controller for cycle slipping in phase-controlled system

AU - Lu, Pingli

AU - Yang, Ying

AU - Huang, Lin

PY - 2007

Y1 - 2007

N2 - This paper concerns the problem of cycle slipping for continuous phase-controlled systems with periodic nonlinearity. The number of slipped cycles is an important property in transient mode of such nonlinear systems. Based on Yakubovich-Kalman Lemma, LMI characterizations are derived for the number of slipped cycles of such systems and an efficient way for the estimation of the number is proposed by solving a generalized eigenvalue minimization problem. Furthermore, in virtue of these results, a dynamic output feedback controller is designed to guarantee the nonexistence of cycle slipping. As a result, the transient performance of phasecontrolled system is improved. A concrete application to phaselocked loop (PLL) shows the applicability and validity of the proposed approach.

AB - This paper concerns the problem of cycle slipping for continuous phase-controlled systems with periodic nonlinearity. The number of slipped cycles is an important property in transient mode of such nonlinear systems. Based on Yakubovich-Kalman Lemma, LMI characterizations are derived for the number of slipped cycles of such systems and an efficient way for the estimation of the number is proposed by solving a generalized eigenvalue minimization problem. Furthermore, in virtue of these results, a dynamic output feedback controller is designed to guarantee the nonexistence of cycle slipping. As a result, the transient performance of phasecontrolled system is improved. A concrete application to phaselocked loop (PLL) shows the applicability and validity of the proposed approach.

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DO - 10.1109/CDC.2007.4434306

M3 - Conference contribution

AN - SCOPUS:62749108431

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SN - 9781424414987

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 1646

EP - 1651

BT - Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 46th IEEE Conference on Decision and Control 2007, CDC

Y2 - 12 December 2007 through 14 December 2007

ER -

Output feedback controller for cycle slipping in phase-controlled system

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