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Leaderless and leader‐following fixed‐time consensus for multiagent systems via impulsive control
Author(s) -
Zhai Xiaoqin,
Wen Guoguang,
Peng Zhaoxia,
Zhang Xianghang
Publication year - 2020
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.5059
Subject(s) - control theory (sociology) , multi agent system , algebraic graph theory , computer science , fixed point , fixed wing , control (management) , graph theory , mathematics , engineering , artificial intelligence , mathematical analysis , combinatorics , wing , aerospace engineering
Summary This article addresses the leaderless fixed‐time consensus (LLFTC) and leader‐following fixed‐time consensus (LFFTC) problems for multiagent systems (MASs) via impulsive control. First, a novel fixed‐time stability for impulsive dynamical system is developed. Then the novel fixed‐time impulsive control protocols are designed to achieve leaderless and leader‐following consensus for MASs. Based on the impulsive control theory, fixed‐time stability theory and algebraic graph theory, some sufficient conditions are derived for each agent to achieve LLFTC and LFFTC under the proposed control protocols. Finally, numerical simulations are put forward to validate the theoretical results.