Title
Synchronization of Passifiable Lurie Systems Via Limited-Capacity Communication Channel
Abstract
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.
Year
DOI
Venue
2009
10.1109/TCSI.2008.2001365
Circuits and Systems I: Regular Papers, IEEE Transactions
Keywords
Field
DocType
Chua's circuit,binary codes,channel coding,chaotic communication,feedback,interconnected systems,multidimensional systems,nonlinear systems,state-space methods,synchronisation,telecommunication control,binary time-varying coder-decoder scheme,chaotic Chua systems,limited-capacity communication channel,multidimensional master-slave systems,output-feedback controlled synchronization problems,passifiable lurie systems synchronization,passification theorem,Chaotic behavior,communication constraints,control,synchronization
Chua's circuit,Synchronization,Nonlinear system,Control theory,Computer science,State-space representation,Communication channel,Channel capacity,Synchronization of chaos,Multidimensional systems
Journal
Volume
Issue
ISSN
56
2
1549-8328
Citations 
PageRank 
References 
9
0.65
30
Authors
3
Name
Order
Citations
PageRank
Alexander L. Fradkov145078.94
Boris R. Andrievsky2212.26
Evans, R.J.390.65