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A Symbolic Approach to Controlling Piecewise Affine Systems

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F10%3A00045256" target="_blank" >RIV/00216224:14330/10:00045256 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    A Symbolic Approach to Controlling Piecewise Affine Systems

  • Original language description

    We present a computational framework for auto- matic synthesis of a feedback control strategy for a piecewise affine (PWA) system from a specification given as a Linear Temporal Logic (LTL) formula over an arbitrary set of linear predicates in its statevariables. First, by defining partitions for its state and input spaces, we construct a finite abstraction of the PWA system in the form of a control transition system. Second, we develop an algorithm to generate a control strategy for the finite abstraction. While provably correct and robust to small perturbations in both state measurements and applied inputs, the overall procedure is conservative and expensive. The proposed algorithms have been implemented and are available for download. Illustrativeexamples are included.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    IN - Informatics

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2010

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Proceedings of of the 49th IEEE Conference on Decision and Control (CDC)

  • ISBN

    978-1-4244-7744-9

  • ISSN

    0191-2216

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

  • Publisher name

    Omnipress for IEEE Control Systems Society

  • Place of publication

    Neuveden

  • Event location

    Atlanta, GA, USA

  • Event date

    Jan 1, 2010

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    00000