Cycle slipping in discrete phase-controlled system

Lu Pingli; Yang Ying; Huang Lin

doi:10.1109/CHICC.2006.280971

Cycle slipping in discrete phase-controlled system

Lu Pingli^*, Yang Ying, Huang Lin

^*Corresponding author for this work

Peking University

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

3 Citations (Scopus)

Abstract

This paper considers cycle slipping of discrete phase-controlled system with periodic nonlinearity. The number of slipped cycles is an important characteristic of such nonlinear system. Based on Yakubovich-Kalman Lemma which establishes the equivalence between frequency domain inequalities(FDIs) and linear matrix inequalities(LMIs), the conditions of estimating the number of slipped cycles are derived. Then dynamic output feedback controller is designed to guarantee the nonexistence of cycle slipping. As a result, the transient performance of discrete phase-controlled system is improved. A concrete application to impulse phase-locked loop (PLL) shows the applicability and validity of the proposed approach.

Original language	English
Title of host publication	2006 Chinese Control Conference Proceedings, CCC 2006
Publisher	IEEE Computer Society
Pages	286-290
Number of pages	5
ISBN (Print)	7810778021, 9787810778022
DOIs	https://doi.org/10.1109/CHICC.2006.280971
Publication status	Published - 2006
Externally published	Yes
Event	25th Chinese Control Conference, CCC 2006 - Harbin, China Duration: 7 Aug 2006 → 11 Aug 2006

Publication series

Name	2006 Chinese Control Conference Proceedings, CCC 2006

Conference

Conference	25th Chinese Control Conference, CCC 2006
Country/Territory	China
City	Harbin
Period	7/08/06 → 11/08/06

Keywords

Cycle slipping
LMIs
Phase-controlled system
Yakubovich-Kalman Lemma

Access to Document

10.1109/CHICC.2006.280971

Cite this

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title = "Cycle slipping in discrete phase-controlled system",

abstract = "This paper considers cycle slipping of discrete phase-controlled system with periodic nonlinearity. The number of slipped cycles is an important characteristic of such nonlinear system. Based on Yakubovich-Kalman Lemma which establishes the equivalence between frequency domain inequalities(FDIs) and linear matrix inequalities(LMIs), the conditions of estimating the number of slipped cycles are derived. Then dynamic output feedback controller is designed to guarantee the nonexistence of cycle slipping. As a result, the transient performance of discrete phase-controlled system is improved. A concrete application to impulse phase-locked loop (PLL) shows the applicability and validity of the proposed approach.",

keywords = "Cycle slipping, LMIs, Phase-controlled system, Yakubovich-Kalman Lemma",

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

year = "2006",

doi = "10.1109/CHICC.2006.280971",

language = "English",

isbn = "7810778021",

series = "2006 Chinese Control Conference Proceedings, CCC 2006",

publisher = "IEEE Computer Society",

pages = "286--290",

booktitle = "2006 Chinese Control Conference Proceedings, CCC 2006",

address = "United States",

note = "25th Chinese Control Conference, CCC 2006 ; Conference date: 07-08-2006 Through 11-08-2006",

}

TY - GEN

T1 - Cycle slipping in discrete phase-controlled system

AU - Pingli, Lu

AU - Ying, Yang

AU - Lin, Huang

PY - 2006

Y1 - 2006

N2 - This paper considers cycle slipping of discrete phase-controlled system with periodic nonlinearity. The number of slipped cycles is an important characteristic of such nonlinear system. Based on Yakubovich-Kalman Lemma which establishes the equivalence between frequency domain inequalities(FDIs) and linear matrix inequalities(LMIs), the conditions of estimating the number of slipped cycles are derived. Then dynamic output feedback controller is designed to guarantee the nonexistence of cycle slipping. As a result, the transient performance of discrete phase-controlled system is improved. A concrete application to impulse phase-locked loop (PLL) shows the applicability and validity of the proposed approach.

AB - This paper considers cycle slipping of discrete phase-controlled system with periodic nonlinearity. The number of slipped cycles is an important characteristic of such nonlinear system. Based on Yakubovich-Kalman Lemma which establishes the equivalence between frequency domain inequalities(FDIs) and linear matrix inequalities(LMIs), the conditions of estimating the number of slipped cycles are derived. Then dynamic output feedback controller is designed to guarantee the nonexistence of cycle slipping. As a result, the transient performance of discrete phase-controlled system is improved. A concrete application to impulse phase-locked loop (PLL) shows the applicability and validity of the proposed approach.

KW - Cycle slipping

KW - LMIs

KW - Phase-controlled system

KW - Yakubovich-Kalman Lemma

UR - http://www.scopus.com/inward/record.url?scp=37349059228&partnerID=8YFLogxK

U2 - 10.1109/CHICC.2006.280971

DO - 10.1109/CHICC.2006.280971

M3 - Conference contribution

AN - SCOPUS:37349059228

SN - 7810778021

SN - 9787810778022

T3 - 2006 Chinese Control Conference Proceedings, CCC 2006

SP - 286

EP - 290

BT - 2006 Chinese Control Conference Proceedings, CCC 2006

PB - IEEE Computer Society

T2 - 25th Chinese Control Conference, CCC 2006

Y2 - 7 August 2006 through 11 August 2006

ER -

Cycle slipping in discrete phase-controlled system

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Keywords

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