Decentralized adaptive controller for synchronization of dynamical networks with delays and bounded disturbances

Alexander L. Fradkov; Grigoriy Grigoriev; Anton Selivanov

doi:10.1109/CDC.2011.6161112

Decentralized adaptive controller for synchronization of dynamical networks with delays and bounded disturbances

Alexander L. Fradkov^*, Grigoriy Grigoriev, Anton Selivanov

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

An adaptive master-slave output feedback synchronization problem is studied firstly for a network of interconnected nonlinear dynamical systems with bounded disturbance and then for a network of systems with delayed couplings. The proposed structure of decentralized controller and adaptation algorithms in both cases is based on speed-gradient and passification methods. Synchronization conditions for systems with disturbances and for systems with delayed couplings are established. An example of synchronization of the network of Chua systems with bounded disturbances is given. The problem of convergence with prespecified accuracy is examined for the networks of dynamical systems with disturbances. ¹

Original language	English
Title of host publication	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1110-1115
Number of pages	6
ISBN (Print)	9781612848006
DOIs	https://doi.org/10.1109/CDC.2011.6161112
State	Published - 2011
Externally published	Yes
Event	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States Duration: 12 Dec 2011 → 15 Dec 2011

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Country/Territory	United States
City	Orlando, FL
Period	12/12/11 → 15/12/11

Access to Document

10.1109/CDC.2011.6161112

Cite this

Fradkov, A. L., Grigoriev, G., & Selivanov, A. (2011). Decentralized adaptive controller for synchronization of dynamical networks with delays and bounded disturbances. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 (pp. 1110-1115). Article 6161112 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2011.6161112

Fradkov, Alexander L. ; Grigoriev, Grigoriy ; Selivanov, Anton. / Decentralized adaptive controller for synchronization of dynamical networks with delays and bounded disturbances. 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. pp. 1110-1115 (Proceedings of the IEEE Conference on Decision and Control).

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title = "Decentralized adaptive controller for synchronization of dynamical networks with delays and bounded disturbances",

abstract = "An adaptive master-slave output feedback synchronization problem is studied firstly for a network of interconnected nonlinear dynamical systems with bounded disturbance and then for a network of systems with delayed couplings. The proposed structure of decentralized controller and adaptation algorithms in both cases is based on speed-gradient and passification methods. Synchronization conditions for systems with disturbances and for systems with delayed couplings are established. An example of synchronization of the network of Chua systems with bounded disturbances is given. The problem of convergence with prespecified accuracy is examined for the networks of dynamical systems with disturbances. 1",

author = "Fradkov, {Alexander L.} and Grigoriy Grigoriev and Anton Selivanov",

year = "2011",

doi = "10.1109/CDC.2011.6161112",

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isbn = "9781612848006",

series = "Proceedings of the IEEE Conference on Decision and Control",

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booktitle = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011",

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note = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 ; Conference date: 12-12-2011 Through 15-12-2011",

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Fradkov, AL, Grigoriev, G & Selivanov, A 2011, Decentralized adaptive controller for synchronization of dynamical networks with delays and bounded disturbances. in 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011., 6161112, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 1110-1115, 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, Orlando, FL, United States, 12/12/11. https://doi.org/10.1109/CDC.2011.6161112

Decentralized adaptive controller for synchronization of dynamical networks with delays and bounded disturbances. / Fradkov, Alexander L.; Grigoriev, Grigoriy; Selivanov, Anton.
2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. p. 1110-1115 6161112 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Fradkov AL, Grigoriev G, Selivanov A. Decentralized adaptive controller for synchronization of dynamical networks with delays and bounded disturbances. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc. 2011. p. 1110-1115. 6161112. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2011.6161112

Decentralized adaptive controller for synchronization of dynamical networks with delays and bounded disturbances

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