Process theory for supervisory control with partial observation of events and states

J. Markovski

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    Abstract

    We present a process theory that can specify supervisory control feedback loops comprising nondeterministic plants and supervisors with event- and state-based observations. To be able to specify state-based observations we employ the notion of propositional root signal emissions and observation. States of the plant `emit' propositional signals that can be observed by the supervisor by conditioned synchronizing event, thus enforcing supervision by state-based observations. We revisit the notion of partial observation of events and states, which expresses that the supervisor cannot distinguish between traces containing the same observable, but different unobservable events, or between a set of given signals. Existence of a supervisor in such a setting is characterized by the notion of partial bisimilarity, which imposes conditions on the plant and the desired behavior. We give an alternative characterization with respect to the observational power of the supervisor by structurally restricting the form of the supervisor and show that both notions coincide in the deterministic setting.
    Original languageEnglish
    Title of host publicationProceedings of the 51st IEEE Conference on Decision and Control (CDC), 10-13 December 2012, Maui, Hawaii, USA
    Place of PublicationPiscataway
    PublisherInstitute of Electrical and Electronics Engineers
    Pages5804-5809
    ISBN (Print)978-1-4673-2064-1
    DOIs
    Publication statusPublished - 2012
    Event51st IEEE Conference on Decision and Control (CDC 2012) - Maui, United States
    Duration: 10 Dec 201213 Dec 2012
    Conference number: 51

    Conference

    Conference51st IEEE Conference on Decision and Control (CDC 2012)
    Abbreviated titleCDC 2012
    CountryUnited States
    CityMaui
    Period10/12/1213/12/12

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