Multivariable PD controller design for fast chaos synchronization of Lur'e systems

Guilin Wen; Qing Guo Wang; Yong He; Zhen Ye

doi:10.1016/j.physleta.2006.11.001

Multivariable PD controller design for fast chaos synchronization of Lur'e systems

Guilin Wen, Qing Guo Wang, Yong He, Zhen Ye

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

4 Citations (Scopus)

Abstract

In this Letter, a strategy for fast master-slave synchronization is proposed for Lur'e systems under PD control based on the free-weighting matrix approach and the S-procedure. The purpose of the derivative action is to improve the closed-loop stability and speed synchronization response. The proposed strategy covers the existing result for the proportional control alone as a special case. This approach is illustrated by the Chua's chaotic circuit system.

Original language	English
Pages (from-to)	192-196
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	363
Issue number	3
DOIs	https://doi.org/10.1016/j.physleta.2006.11.001
Publication status	Published - 26 Apr 2007
Externally published	Yes

Keywords

Chaos synchronization
Free-weighting matrix approach
Linear matrix inequality (LMI)
PD control
S-procedure

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/j.physleta.2006.11.001

Cite this

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abstract = "In this Letter, a strategy for fast master-slave synchronization is proposed for Lur'e systems under PD control based on the free-weighting matrix approach and the S-procedure. The purpose of the derivative action is to improve the closed-loop stability and speed synchronization response. The proposed strategy covers the existing result for the proportional control alone as a special case. This approach is illustrated by the Chua's chaotic circuit system.",

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AU - Wen, Guilin

AU - Wang, Qing Guo

AU - He, Yong

AU - Ye, Zhen

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Y1 - 2007/4/26

N2 - In this Letter, a strategy for fast master-slave synchronization is proposed for Lur'e systems under PD control based on the free-weighting matrix approach and the S-procedure. The purpose of the derivative action is to improve the closed-loop stability and speed synchronization response. The proposed strategy covers the existing result for the proportional control alone as a special case. This approach is illustrated by the Chua's chaotic circuit system.

AB - In this Letter, a strategy for fast master-slave synchronization is proposed for Lur'e systems under PD control based on the free-weighting matrix approach and the S-procedure. The purpose of the derivative action is to improve the closed-loop stability and speed synchronization response. The proposed strategy covers the existing result for the proportional control alone as a special case. This approach is illustrated by the Chua's chaotic circuit system.

KW - Chaos synchronization

KW - Free-weighting matrix approach

KW - Linear matrix inequality (LMI)

KW - PD control

KW - S-procedure

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DO - 10.1016/j.physleta.2006.11.001

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 3

ER -

Multivariable PD controller design for fast chaos synchronization of Lur'e systems

Abstract

Keywords

ASJC Scopus subject areas

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