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Original Articles

Quantised near-consensus via quantised communication links

Pages 931-946 | Received 20 Dec 2010, Accepted 19 Apr 2011, Published online: 03 Jun 2011
 

Abstract

This article develops a framework for treating multiagent consensus problems using quantised control. Specifically, we present asymmetrically and symmetrically quantised consensus protocols for multiagent dynamical systems. The proposed consensus protocols involve the exchange of quantised information between agents. Due to quantisation, the requirement for consensus is weakened to quantised near-consensus. Under certain assumptions on the network topology, the proposed protocols guarantee that the closed-loop dynamical network is Lyapunov stable and convergent to an appropriately defined set in finite time. We present a complete stability and convergence analysis, using dynamical systems theory and Lyapunov-based approaches. The quasi-robustness of the symmetrically quantised consensus protocols to slowly-varying communication errors is analysed. To the best of our knowledge this is the first time such an analysis has been presented in the literature. Several simulation examples illustrate the main results of this article.

Acknowledgements

This work was supported by the Defense Threat Reduction Agency, Basic Research Award No. HDTRA1-10-1-0090, to Texas Tech University.

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