Journal article

Synchronization of Passifiable Lurie Systems Via Limited-Capacity Communication Channel

Alexander L Fradkov, Boris Andrievsky, Robin J Evans

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC | Published : 2009

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 e..

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Grants

Awarded by Russian Foundation for Basic Research


Funding Acknowledgements

This work was supported in part by NICTA, by the University of Melbourne, and by The Russian Foundation for Basic Research under Projects RFBR 06-08-01386 and 08-01-00775. This paper was recommended by Associate Editor Z. Galias.