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Distributed adaptive consensus for linear multi-agent systems with quantised information

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  • Chao Deng
  • Guang-Hong Yang

Abstract

This paper considers the distributed adaptive consensus problem for linear multi-agent systems with quantised relative information. By using a lemma in algebraic graph theory and introducing a projection operator in adaptive law, a novel distributed adaptive state feedback controller is designed with quantised relative state information. It is shown that the practical consensus for multi-agent systems with a uniform quantiser is achieved via the Lyapunov theory and the non-smooth analysis. In contrast with the existing quantised controllers, which rely on the minimum nonzero eigenvalue of the Laplacian matrix, the developed controller is only dependent on the number of nodes. Furthermore, a dynamic output feedback controller based on quantised relative output information is proposed. Finally, a simulation example is given to illustrate the effectiveness of the proposed control scheme.

Suggested Citation

  • Chao Deng & Guang-Hong Yang, 2017. "Distributed adaptive consensus for linear multi-agent systems with quantised information," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(15), pages 3129-3137, November.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:15:p:3129-3137
    DOI: 10.1080/00207721.2017.1381282
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