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Distributed robust control of uncertain linear multi‐agent systems
Author(s) -
Wang Jingyao,
Duan Zhisheng,
Wen Guanghui,
Chen Guanrong
Publication year - 2014
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.3199
Subject(s) - control theory (sociology) , computer science , transient (computer programming) , observer (physics) , robust control , control (management) , state information , multi agent system , state (computer science) , linear system , transient response , control engineering , control system , mathematics , engineering , artificial intelligence , algorithm , mathematical analysis , physics , quantum mechanics , electrical engineering , operating system
Summary In this paper, the distributed H ∞ robust control problem synthesized with transient performance is investigated for a group of autonomous agents governed by uncertain general linear node dynamics. Based on the relative information between neighboring agents and some information of other agents, distributed state‐feedback and observer‐type output‐feedback control protocols are designed and analyzed, respectively. By using tools from robust control theory, conditions for the existence of controllers for solving such a problem are established. It is shown that the problem of distributed H ∞ robust control synthesized with transient performance can be converted to the H ∞ control problem synthesized with transient performance for decoupled linear systems of the same low dimensions. Finally, simulation examples are provided to illustrate the effectiveness of the design. Copyright © 2014 John Wiley & Sons, Ltd.