Construction of universally rigid tensegrity frameworks and their applications in formation scaling control

Qingkai Yang, Zhiyong Sun, Ming Cao, Haof Fang, Jie Chen

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    14 Citations (Scopus)

    Abstract

    This paper first investigates the challenging graph theoretic problem of constructing universally rigid tensegrity frameworks given any generic configuration. We design a numerical algorithm to construct a universally rigid tensegrity framework, such that the resulted eigenvalues of the stress matrix of the tensegrity framework can be selected beforehand. As one application, we then consider the formation scaling problem for multi-agent systems, in which the agents and their interaction relationship are respectively represented by the nodes and the underlying graph of the tensegrity framework. Distributed control laws are developed using the stresses, which render the global exponential convergence to the target formation shape. We also carry out several simulations to validate the theoretical results.

    Original languageEnglish
    Title of host publicationProceedings of the 36th Chinese Control Conference, CCC 2017
    EditorsTao Liu, Qianchuan Zhao
    PublisherIEEE Computer Society
    Pages8177-8182
    Number of pages6
    ISBN (Electronic)9789881563934
    DOIs
    Publication statusPublished - 7 Sept 2017
    Event36th Chinese Control Conference, CCC 2017 - Dalian, China
    Duration: 26 Jul 201728 Jul 2017

    Publication series

    NameChinese Control Conference, CCC
    ISSN (Print)1934-1768
    ISSN (Electronic)2161-2927

    Conference

    Conference36th Chinese Control Conference, CCC 2017
    Country/TerritoryChina
    CityDalian
    Period26/07/1728/07/17

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