consensus control for multi-agent systems with linear coupling dynamics and communication delays

Yang Liu and Yingmin Jia

International Journal of Systems Science, 2011, vol. 43, issue 1, 50-62

Abstract: This article is devoted to the consensus control problem of a network of autonomous agents with linear coupling dynamics, subject to external disturbances and communication delays, and proposes a distributed state feedback protocol. By applying H∞ theory of linear systems, delay-independent and -dependent conditions in terms of linear matrix inequalities (LMIs) are both derived to ensure consensus of the multi-agent system with a prescribed H∞ disturbance attenuation index, and the undetermined feedback matrix of the proposed protocol is further solved accordingly. A simulation example is included to validate the theoretical results.

Date: 2011
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DOI: 10.1080/00207721003768167

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