Open AccessDistributed robust consensus of linear multi‐agent systems with switching topologies
Author(s) -
Li Zixi
Publication year - 2015
Publication title -
the journal of engineering
Language(s) - English
Resource type - Journals
ISSN - 2051-3305
DOI - 10.1049/joe.2014.0288
Subject(s) - network topology , consensus , multi agent system , observer (physics) , computer science , control theory (sociology) , robustness (evolution) , protocol (science) , topology (electrical circuits) , transmission (telecommunications) , distributed computing , mathematical optimization , mathematics , computer network , artificial intelligence , control (management) , combinatorics , medicine , telecommunications , biochemistry , chemistry , physics , alternative medicine , pathology , quantum mechanics , gene
This paper studies the consensus problem of multi‐agent systems consisting of general linear node dynamics with external disturbances in transmission channels under fixed and switching communication topologies. A distributed observer‐type robust consensus protocol based on relative output measurements is proposed. A model transformation approach is introduced to address the robust consensus of multi‐agent systems. Some conditions for robust consensus are given in terms of linear matrix inequalities for fixed and jointly connected communication topologies. A multi‐step robust consensus protocol design procedure is further presented. Finally, the effectiveness of the theoretical results is demonstrated through numerical simulations.