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Robust synchronization of linear dynamical networks with compensation of disturbances
Author(s) -
Furtat Igor,
Fradkov Alexander,
Tsykunov Alexander
Publication year - 2013
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3024
Subject(s) - control theory (sociology) , synchronization (alternating current) , scalar (mathematics) , compensation (psychology) , computer science , synchronization networks , robustness (evolution) , matching (statistics) , simple (philosophy) , controller (irrigation) , dynamical systems theory , differential (mechanical device) , control engineering , mathematics , control (management) , engineering , artificial intelligence , telecommunications , channel (broadcasting) , philosophy , psychoanalysis , aerospace engineering , chemistry , biology , psychology , biochemistry , geometry , epistemology , quantum mechanics , agronomy , statistics , physics , gene
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.