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Distributed robust control of uncertain linear multi‐agent systems
Authors:Jingyao Wang  Zhisheng Duan  Guanghui Wen  Guanrong Chen
Affiliation:1. State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing 100871, China;2. Department of Mathematics, Southeast University, Nanjing 210096, China;3. Department of Electronic Engineering, City University of Hong Kong, Hong Kong SAR, China
Abstract: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.
Keywords:multi‐agent system  transient performance  distributed H       robust control  parameter uncertainty  observer‐type protocol
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