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Scale‐free collaborative protocols for global regulated state synchronization of discrete‐time homogeneous networks of non‐introspective agents in presence of input saturation
Author(s) -
Liu Zhenwei,
Saberi Ali,
Stoorvogel Anton A.
Publication year - 2022
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.6087
Subject(s) - computer science , scalability , synchronization (alternating current) , nonlinear system , discrete time and continuous time , protocol (science) , control theory (sociology) , laplacian matrix , distributed computing , topology (electrical circuits) , mathematics , theoretical computer science , computer network , control (management) , artificial intelligence , channel (broadcasting) , medicine , graph , statistics , physics , alternative medicine , pathology , quantum mechanics , database , combinatorics
This article studies scalable global regulated state synchronization of discrete‐time homogeneous networks of non‐introspective agents in presence of input saturation based on localized information exchange, where the reference trajectory is given by a so‐called exosystem which is assumed to be globally reachable. A scale‐free collaborative nonlinear and linear dynamic protocols design methodology is developed for discrete‐time multi‐agent systems with both full and partial‐state couplings. The scale‐free nonlinear dynamic protocol is developed via design based on scheduling for discrete‐time linear general dynamics. Meanwhile, the scale‐free linear observer‐based protocol design is proposed for a class of neutrally stable discrete‐time agent models. Our protocol design methodology does not need any knowledge of the directed network topology and the spectrum of the associated Laplacian matrix. Moreover, the proposed protocol is scalable and achieves synchronization for any arbitrary number of agents.