IEEE Transactions on Circuits and Systems I: Regular Papers, volume 56, issue 2, pages 430-439
Synchronization of Passifiable Lurie Systems Via Limited-Capacity Communication Channel
2
Institute of Problems of Mechanical Engineering, Russian Academy of Science, Saint Petersburg, Russia
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3
Baltic State Technical University, Saint Petersburg, Russia
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Publication type: Journal Article
Publication date: 2009-02-13
Q1
Q1
SJR: 1.836
CiteScore: 9.8
Impact factor: 5.2
ISSN: 15498328, 15580806
Electrical and Electronic Engineering
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.
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Fradkov A. L. et al. Synchronization of Passifiable Lurie Systems Via Limited-Capacity Communication Channel // IEEE Transactions on Circuits and Systems I: Regular Papers. 2009. Vol. 56. No. 2. pp. 430-439.
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Fradkov A. L., Andrievsky B., Evans R. J. Synchronization of Passifiable Lurie Systems Via Limited-Capacity Communication Channel // IEEE Transactions on Circuits and Systems I: Regular Papers. 2009. Vol. 56. No. 2. pp. 430-439.
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TY - JOUR
DO - 10.1109/tcsi.2008.2001365
UR - https://doi.org/10.1109/tcsi.2008.2001365
TI - Synchronization of Passifiable Lurie Systems Via Limited-Capacity Communication Channel
T2 - IEEE Transactions on Circuits and Systems I: Regular Papers
AU - Fradkov, A. L.
AU - Andrievsky, B
AU - Evans, R. J.
PY - 2009
DA - 2009/02/13
PB - Institute of Electrical and Electronics Engineers (IEEE)
SP - 430-439
IS - 2
VL - 56
SN - 1549-8328
SN - 1558-0806
ER -
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BibTex (up to 50 authors)
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@article{2009_Fradkov,
author = {A. L. Fradkov and B Andrievsky and R. J. Evans},
title = {Synchronization of Passifiable Lurie Systems Via Limited-Capacity Communication Channel},
journal = {IEEE Transactions on Circuits and Systems I: Regular Papers},
year = {2009},
volume = {56},
publisher = {Institute of Electrical and Electronics Engineers (IEEE)},
month = {feb},
url = {https://doi.org/10.1109/tcsi.2008.2001365},
number = {2},
pages = {430--439},
doi = {10.1109/tcsi.2008.2001365}
}
Cite this
MLA
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Fradkov, A. L., et al. “Synchronization of Passifiable Lurie Systems Via Limited-Capacity Communication Channel.” IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 56, no. 2, Feb. 2009, pp. 430-439. https://doi.org/10.1109/tcsi.2008.2001365.