Open AccessSemi‐global containment of discrete‐time high‐order multi‐agent systems with input saturation via intermittent control
Author(s) -
Xu Chengjie,
Li Bofan,
Yang Ling
Publication year - 2020
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.2020.0110
Subject(s) - control theory (sociology) , containment (computer programming) , convex hull , intermittent control , bounded function , saturation (graph theory) , discrete time and continuous time , convergence (economics) , protocol (science) , multi agent system , computer science , mathematics , regular polygon , control (management) , engineering , control engineering , medicine , mathematical analysis , statistics , geometry , alternative medicine , pathology , combinatorics , artificial intelligence , economics , programming language , economic growth
This study investigates the intermittent semi‐global containment of discrete‐time high‐order multi‐agent systems with input saturation. The intermittent semi‐global containment protocol is proposed based on discrete‐time low‐gain state feedback control. Some containment conditions are obtained, and the convergence analysis is given. It is turned out that all the followers beginning from a bounded initial set will asymptotically enter into the convex hull spanned by the leaders under the proposed protocol. Moveover, intermittent semi‐global leader‐following consensus with input saturation is considered as a special case, and the corresponding result is introduced. Finally, numerical simulations are presented to illustrate the theoretical findings.