Conditions for preserving negative imaginary properties in feedback interconnections and an application to multi-agent systems

Hsueh Ju Chen, Alexander Lanzon, Ian R. Petersen

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

    4 Citations (Scopus)

    Abstract

    We derived necessary and sufficient conditions for a feedback interconnection of negative imaginary systems to have negative imaginary properties. We first consider two negative imaginary systems (or strictly negative imaginary systems) which are interconnected via positive feedback. Then necessary and sufficient conditions for determining whether the feedback interconnection has negative imaginary properties are presented. These conditions are specialised to a dc loop gain that is easy to check under some assumptions. Together with stability results in the literature, these conditions could be applied to check the stability of a string of several coupled negative imaginary subsystems. Such an example is given to illustrate the usefulness of our proposed results.

    Original languageEnglish
    Title of host publication2017 25th Mediterranean Conference on Control and Automation, MED 2017
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages1143-1147
    Number of pages5
    ISBN (Electronic)9781509045334
    DOIs
    Publication statusPublished - 18 Jul 2017
    Event25th Mediterranean Conference on Control and Automation, MED 2017 - Valletta, Malta
    Duration: 3 Jul 20176 Jul 2017

    Publication series

    Name2017 25th Mediterranean Conference on Control and Automation, MED 2017

    Conference

    Conference25th Mediterranean Conference on Control and Automation, MED 2017
    Country/TerritoryMalta
    CityValletta
    Period3/07/176/07/17

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