Open AccessSemi‐global consensus of multi‐agent systems with intermittent communications and low‐gain feedback
Author(s) -
Wang Xiaoling,
Wang Xiaofan
Publication year - 2015
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2014.0464
Subject(s) - control theory (sociology) , multi agent system , bounded function , algebraic riccati equation , consensus , stability theory , lyapunov function , lyapunov stability , controller (irrigation) , mathematics , riccati equation , actuator , stability (learning theory) , computer science , control (management) , nonlinear system , differential equation , mathematical analysis , physics , quantum mechanics , artificial intelligence , machine learning , agronomy , biology
This study addresses the semi‐global consensus of linear multi‐agent systems with a virtual leader, in which the control input of each agent is subject to periodically intermittent saturating actuator. Depending on multiple Lyapunov stability theorem and applying the algebraic‐Riccati‐equation‐based low‐gain feedback technique, the authors can obtain that: when the control width is larger than a fixed value, a connected system with each agent being asymptotically null controllable with bounded controls and marginally stable can guarantee the semi‐global consensus of multi‐agent systems with a virtual leader. Numerical simulations verify the author's theoretical analysis.