Synchronization Criterion for Lur'e Systems via Delayed PD Controller

被引：19

作者：

Ji, D. H. ^{[2
]}

Park, Ju H. ^{[1
]}

Lee, S. M. ^{[3
]}

Koo, J. H. ^{[4
]}

Won, S. C. ^{[4
]}

机构：

[1] Yeungnam Univ, Dept Elect Engn, Kyongsan 712749, South Korea

[2] Samsung Elect, Digital Media & Commun, Suwon, South Korea

[3] Daegu Univ, Sch Elect Engn, Kyongsan, South Korea

[4] POSTECH, Dept Elect & Elect Engn, Pohang, South Korea

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2010年 / 147卷 / 02期

关键词：

Lur'e systems; Synchronization; Absolute stability; PD controller; LMIs; Convex optimization; MASTER-SLAVE SYNCHRONIZATION; TIME-VARYING DELAY; CHAOS SYNCHRONIZATION; FEEDBACK-CONTROL; STABILITY;

D O I：

10.1007/s10957-010-9723-0

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, the effects of a time varying delay on a chaotic drive-response synchronization are considered. Using a delayed feedback proportional-derivative (PD) controller scheme, a delay-dependent synchronization criterion is derived for chaotic systems represented by the Lur'e system with sector and slope restricted nonlinearities. The derived criterion is a sufficient condition for the absolute stability of the error dynamics between the drive and the response systems. By the use of a convex representation of the nonlinearity and the discretized Lyapunov-Krasovskii functional, stability condition is obtained via the LMI formulation. The condition represented in the terms of linear matrix inequalities (LMIs) can be solved by the application of convex optimization algorithms. The effectiveness of the work is verified through numerical examples.

引用

页码：298 / 317

页数：20

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