An algebraic approach to designing consensus algorithm of networked high dimensional agents

Chi Huang, Guisheng Zhai, Gesheng Xu

研究成果: Conference contribution

1 被引用数 (Scopus)

抄録

In this paper, we deal with a consensus control problem for a group of high dimensional agents which are networked by digraphs. Assuming that the control input of each agent is constructed based on the weighted difference between its states and those of its neighbor agents, we aim to propose an algorithm on computing the weighting coefficients in the control input. The problem is reduced to designing Hurwitz polynomials with complex coefficients. Focusing on the case of three dimensional systems, we show that by using Hurwitz polynomials with complex coefficients, we obtain a necessary and sufficient condition for the consensus algorithm. The condition is a natural extension to second order consensus, and is reasonable and practical due to its comparatively less computation burden. Two numerical examples show effectiveness of the proposed condition and the consensus algorithm.

本文言語English
ホスト出版物のタイトルProceedings of the 36th Chinese Control Conference, CCC 2017
編集者Tao Liu, Qianchuan Zhao
出版社IEEE Computer Society
ページ8293-8298
ページ数6
ISBN(電子版)9789881563934
DOI
出版ステータスPublished - 2017 9 7
イベント36th Chinese Control Conference, CCC 2017 - Dalian, China
継続期間: 2017 7 262017 7 28

出版物シリーズ

名前Chinese Control Conference, CCC
ISSN(印刷版)1934-1768
ISSN(電子版)2161-2927

Other

Other36th Chinese Control Conference, CCC 2017
CountryChina
CityDalian
Period17/7/2617/7/28

ASJC Scopus subject areas

  • Computer Science Applications
  • Control and Systems Engineering
  • Applied Mathematics
  • Modelling and Simulation

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