Open AccessFixed‐time group consensus for multi‐agent systems with non‐linear dynamics and uncertainties
Author(s) -
Shang Yilun
Publication year - 2018
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.2017.1021
Subject(s) - algebraic graph theory , control theory (sociology) , convergence (economics) , lyapunov stability , controller (irrigation) , bounded function , graph theory , mathematics , lyapunov function , multi agent system , group (periodic table) , consensus , fixed point , computer science , stability (learning theory) , mathematical optimization , nonlinear system , control (management) , artificial intelligence , physics , quantum mechanics , mathematical analysis , chemistry , organic chemistry , combinatorics , machine learning , agronomy , economics , biology , economic growth
In this study, the author studies fixed‐time group consensus problem in networks of dynamic agents with intrinsic non‐linear dynamics and bounded uncertainties. Three types of distributed control protocols are proposed to achieve fixed‐time group consensus when the subgroups are connected and have inter‐group common influence. By using Lyapunov theory, algebraic graph theory, and fixed‐time stability, some conditions are derived to select the controller gains to ensure the convergence in a prescribed time regardless of the initial conditions. Numerical examples are worked out to illustrate the effectiveness of our theoretical results.