Volume 24, Issue 17 pp. 2774-2784
Research Article

Robust synchronization of linear dynamical networks with compensation of disturbances

Igor Furtat

Corresponding Author

Igor Furtat

Institute for Problems of Mechanical Engineering, Russian Academy of Sciences, 61 Bolshoy Ave V.O., Saint Petersburg, 199178 Russia

Saint Petersburg National Research University of Information Technologies, Mechanics and Optics, 49 Kronverkskiy Ave, Saint Petersburg, 197101 Russia

Correspondence to: Igor Furtat, Institute for Problems of Mechanical Engineering, Russian Academy of Sciences, 61 Bolshoy Ave V.O., Saint Petersburg, 199178, Russia.

E-mail: [email protected]

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Alexander Fradkov

Alexander Fradkov

Institute for Problems of Mechanical Engineering, Russian Academy of Sciences, 61 Bolshoy Ave V.O., Saint Petersburg, 199178 Russia

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Alexander Tsykunov

Alexander Tsykunov

Astrakhan State Technical University, 16 Tatisheva Ave, Astrakhan, 414025 Russia

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First published: 14 June 2013
Citations: 40

SUMMARY

The problem of robust synchronization of a network of interconnected dynamical subsystems with a leader is considered. Each local subsystem of network is described by a linear time-varying parametrically and functionally uncertain differential equation. Only scalar inputs and outputs of local subsystems are supposed to be measured. A simple decentralized controller ensuring the tracking of the local subsystems by the leader under matching conditions is designed. The method is illustrated by an example, synchronization of the network with four nodes. Copyright © 2013 John Wiley & Sons, Ltd.

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