A sector bound approach to feedback control of nonlinear systems with state quantization

Tengfei Liu*, Zhong Ping Jiang, David J. Hill

*Corresponding author for this work

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

    3 Citations (Scopus)

    Abstract

    This paper studies the feedback control problem of nonlinear systems in strict-feedback form with state quantizers, which are static and bounded by sectors. Through a novel set-valued map based recursive control design approach, the quantized control system is transformed into an interconnection of several input-to-state stable (ISS) subsystems. The ISS property of the closed-loop system is guaranteed by the recently developed cyclic-small-gain theorem. With an appropriately designed quantized controller, the output of the quantized control system can be steered to within an arbitrarily small neighborhood of the origin.

    Original languageEnglish
    Title of host publicationProceedings of the 18th IFAC World Congress
    PublisherIFAC Secretariat
    Pages4654-4659
    Number of pages6
    Edition1 PART 1
    ISBN (Print)9783902661937
    DOIs
    Publication statusPublished - 2011

    Publication series

    NameIFAC Proceedings Volumes (IFAC-PapersOnline)
    Number1 PART 1
    Volume44
    ISSN (Print)1474-6670

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