Open AccessLeader‐following consensus of general fractional‐order linear multi‐agent systems via event‐triggered control
Author(s) -
Shi Min,
Yu Yajuan,
Teng Xinghu
Publication year - 2018
Publication title -
the journal of engineering
Language(s) - English
Resource type - Journals
ISSN - 2051-3305
DOI - 10.1049/joe.2017.0811
Subject(s) - control theory (sociology) , controller (irrigation) , convergence (economics) , multi agent system , consensus , order (exchange) , linear matrix inequality , lyapunov stability , linear system , mathematics , computer science , stability theory , linear control systems , stability (learning theory) , control (management) , mathematical optimization , nonlinear system , mathematical analysis , artificial intelligence , physics , economics , finance , quantum mechanics , machine learning , agronomy , biology , economic growth
The leader‐following consensus problem of the general fractional‐order linear multi‐agent systems via event‐triggered control is considered. An effective event‐trigger controller is designed, and then the leader‐following consensus problem of the controlled multi‐agent systems is studied by using the Lyapunov theory of fractional‐order systems and linear matrix inequality method. The consensus condition and the convergence rate of the system are obtained based on the Mittag–Leffler stability of fractional‐order systems. Simulation indicates the effectiveness of the theoretical results.