Negative Imaginary State Feedback Control with a Prescribed Degree of Stability

James Dannatt, Ian Petersen

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

    2 Citations (Scopus)

    Abstract

    This paper presents a method for the synthesis of negative imaginary closed-loop systems with a prescribed degree of stability under the assumption of full state feedback. The approach extends existing work by using a perturbation method to ensure a closed-loop system that has both the negative imaginary property and a prescribed degree of stability. This approach involves the real Schur decomposition of a matrix followed by the solution to two Lyapunov equations which provides computational advantages over alternate state feedback synthesis techniques. Also, some counterexamples are presented which clarify the perturbation properties of strictly negative imaginary systems.

    Original languageEnglish
    Title of host publication2018 IEEE Conference on Decision and Control, CDC 2018
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages3807-3811
    Number of pages5
    ISBN (Electronic)9781538613955
    DOIs
    Publication statusPublished - 2 Jul 2018
    Event57th IEEE Conference on Decision and Control, CDC 2018 - Miami, United States
    Duration: 17 Dec 201819 Dec 2018

    Publication series

    NameProceedings of the IEEE Conference on Decision and Control
    Volume2018-December
    ISSN (Print)0743-1546
    ISSN (Electronic)2576-2370

    Conference

    Conference57th IEEE Conference on Decision and Control, CDC 2018
    Country/TerritoryUnited States
    CityMiami
    Period17/12/1819/12/18

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