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  • 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 state variables. 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. Illustrative examples are included.
  • 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 state variables. 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. Illustrative examples are included. (en)
Title
  • A Symbolic Approach to Controlling Piecewise Affine Systems
  • A Symbolic Approach to Controlling Piecewise Affine Systems (en)
skos:prefLabel
  • A Symbolic Approach to Controlling Piecewise Affine Systems
  • A Symbolic Approach to Controlling Piecewise Affine Systems (en)
skos:notation
  • RIV/00216224:14330/10:00045256!RIV11-GA0-14330___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/09/1389), P(GP201/09/P497), S, Z(MSM0021622419)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 245022
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14330/10:00045256
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Automata; Game Theory; Hybrid Systems (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [D2533BBC9A99]
http://linked.open...v/mistoKonaniAkce
  • Atlanta, GA, USA
http://linked.open...i/riv/mistoVydani
  • Neuveden
http://linked.open...i/riv/nazevZdroje
  • Proceedings of of the 49th IEEE Conference on Decision and Control (CDC)
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Barnat, Jiří
  • Černá, Ivana
  • Belta, Calin
  • Tůmová, Jana
  • Yordanov, Boyan
http://linked.open...vavai/riv/typAkce
http://linked.open...ain/vavai/riv/wos
  • 00000
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
issn
  • 0191-2216
number of pages
http://purl.org/ne...btex#hasPublisher
  • Omnipress for IEEE Control Systems Society
https://schema.org/isbn
  • 978-1-4244-7744-9
http://localhost/t...ganizacniJednotka
  • 14330
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