Premium
State synchronization of linear and nonlinear agents in time‐varying networks
Author(s) -
Zhang Meirong,
Saberi Ali,
Stoorvogel Anton A.
Publication year - 2017
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.3764
Subject(s) - control theory (sociology) , nonlinear system , state (computer science) , synchronization (alternating current) , computer science , coupling (piping) , state variable , dwell time , controller (irrigation) , protocol (science) , graph , topology (electrical circuits) , mathematics , algorithm , theoretical computer science , engineering , control (management) , physics , artificial intelligence , alternative medicine , pathology , biology , quantum mechanics , agronomy , thermodynamics , mechanical engineering , medicine , clinical psychology , combinatorics
Summary This paper studies state synchronization of homogeneous time‐varying networks with diffusive full‐state coupling or partial‐state coupling. In the case of full‐state coupling, linear agents as well as a class of nonlinear time‐varying agents are considered. In the case of partial‐state coupling, we only consider linear agents, but, in contrast with the literature, we do not require the agents in the network to be minimum phase or at most weakly unstable. In both cases, the network is time‐varying in the sense that the network graph switches within an infinite set of graphs with arbitrarily small dwell time. A purely decentralized linear static protocol is designed for agents in the network with full‐state coupling. For partial‐state coupling, a linear dynamic protocol is designed for agents in the network while using additional communication among controller variables using the same network. In both cases, the design is based on a high‐gain methodology. Copyright © 2017 John Wiley & Sons, Ltd.