Open AccessStationary and dynamic consensus of second‐order multi‐agent systems with Markov jumping input delays
Author(s) -
Hou Bo,
Sun Fuchun,
Li Hongbo,
Liu Guangbin
Publication year - 2014
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.2014.0173
Subject(s) - control theory (sociology) , jumping , markov chain , computer science , multi agent system , order (exchange) , markov process , mathematics , artificial intelligence , control (management) , machine learning , economics , statistics , finance , physiology , biology
This study investigates the consensus problem of second‐order multi‐agent systems which are subject to Markov jumping input delays. A unified framework is established to address both the stationary and dynamic consensus issues in sampled‐data settings. The authors first derive the sufficient conditions for consensus in terms of matrix inequalities. Thereafter, a cone complementarity linearisation‐based algorithm and its simplified implementation alternative are proposed for the delay‐dependent switching controller design. Compared with the existing works, the proposed algorithms possess less conservativeness and larger solution domains. Finally, numerical examples are provided to illustrate the effectiveness of the proposed approaches.