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H_\infty Consensus for Linear Heterogeneous Discrete-Time Multiagent Systems With Output Feedback Control


Abstract:

This paper studies the H∞ consensus problem for linear heterogeneous discrete-time multiagent systems (MASs). For a special kind of nonlinear matrix inequality, a novel m...Show More

Abstract:

This paper studies the H consensus problem for linear heterogeneous discrete-time multiagent systems (MASs). For a special kind of nonlinear matrix inequality, a novel method is provided to make these inequalities turn into some equivalent conditions that can be solved by utilizing the LMI toolbox. According to this method, a necessary and sufficient condition of H consensus for linear heterogeneous discrete-time MAS with output feedback control scheme and a corresponding iterative algorithm are proposed, respectively. Moreover, by employing these results, a necessary and sufficient condition that makes a general linear system with one kind of constrained controller achieve H control is provided. Finally, two numerical examples are given to illustrate the validity of our schemes.
Published in: IEEE Transactions on Cybernetics ( Volume: 49, Issue: 10, October 2019)
Page(s): 3713 - 3721
Date of Publication: 12 July 2018

ISSN Information:

PubMed ID: 30004898

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