Synchronization of Passifiable Lurie Systems Via Limited-Capacity Communication Channel

被引：42

作者：

Fradkov, Alexander L. ^{[1
,2
]}

Andrievsky, Boris ^{[1
,3
]}

Evans, Robin J. ^{[4
,5
]}

机构：

[1] Russian Acad Sci, Inst Problems Mech Engn, St Petersburg 199178, Russia

[2] St Petersburg State Univ, Fac Math & Mech, Dept Theoret Cybernet, St Petersburg 198504, Russia

[3] Balt State Tech Univ, St Petersburg 198005, Russia

[4] Univ Melbourne, Natl ICT Australia, Melbourne, Vic 3010, Australia

[5] Univ Melbourne, Dept Elect & Elect Engn, Melbourne, Vic 3010, Australia

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 2009年 / 56卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

Chaotic behavior; communication constraints; control; synchronization; OBSERVER-BASED SYNCHRONIZATION; STATIC OUTPUT-FEEDBACK; DATA RATE CONSTRAINTS; NONLINEAR-SYSTEMS; TRACKING CONTROL; CHAOTIC SYSTEMS; LINEAR-SYSTEMS; STABILIZATION; STABILIZABILITY; DELAY;

D O I：

10.1109/TCSI.2008.2001365

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Output-feedback controlled synchronization problems for a class of nonlinear unstable systems under information constraints imposed by limited capacity of the communication channel are analyzed. A binary time-varying coder-decoder scheme is described, and a theoretical analysis for multidimensional master-slave systems represented in Lurie form (linear part plus nonlinearity depending only on measurable outputs) is provided. An output-feedback control law is proposed based on the passification theorem. It is shown that the synchronization error exponentially tends to zero for sufficiently high transmission rate (channel capacity). The results obtained for the synchronization problem can be extended to tracking problems in a straightforward manner if the reference signal is described by an external (exogenous) state space model. The results are illustrated by the controlled synchronization of two chaotic Chua systems via a communication channel with limited capacity.

引用

页码：430 / 439

页数：10

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