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  • We present a computational framework for automatic synthesis of a feedback control strategy for a discrete-time piece-wise affine (PWA) system from a specification given as a linear temporal logic (LTL) formula over an arbitrary set of linear predicates in the system's state variables. Our approach consists of two main steps. First, by defining appropriate 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, by leveraging ideas and techniques from LTL model checking and Rabin games, we develop an algorithm to generate a control strategy for the finite abstraction. While provably correct and robust to state measurements and small perturbations in the applied inputs, the overall procedure is conservative and expensive. The proposed algorithms have been implemented as a software package and made available for download. Illustrative examples are included.
  • We present a computational framework for automatic synthesis of a feedback control strategy for a discrete-time piece-wise affine (PWA) system from a specification given as a linear temporal logic (LTL) formula over an arbitrary set of linear predicates in the system's state variables. Our approach consists of two main steps. First, by defining appropriate 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, by leveraging ideas and techniques from LTL model checking and Rabin games, we develop an algorithm to generate a control strategy for the finite abstraction. While provably correct and robust to state measurements and small perturbations in the applied inputs, the overall procedure is conservative and expensive. The proposed algorithms have been implemented as a software package and made available for download. Illustrative examples are included. (en)
Title
  • Temporal Logic Control of Discrete-Time Piecewise Affine Systems
  • Temporal Logic Control of Discrete-Time Piecewise Affine Systems (en)
skos:prefLabel
  • Temporal Logic Control of Discrete-Time Piecewise Affine Systems
  • Temporal Logic Control of Discrete-Time Piecewise Affine Systems (en)
skos:notation
  • RIV/00216224:14330/12:00057211!RIV13-GA0-14330___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GAP202/11/0312), P(GD102/09/H042), P(LH11065), S, Z(MSM0021622419)
http://linked.open...iv/cisloPeriodika
  • 6
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 173733
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14330/12:00057211
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Control design; discrete time systems; formal specifications; piecewise linear approximation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [D7EB727E10CF]
http://linked.open...i/riv/nazevZdroje
  • IEEE Transactions on Automatic Control
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...v/svazekPeriodika
  • 57
http://linked.open...iv/tvurceVysledku
  • Barnat, Jiří
  • Černá, Ivana
  • Belta, Calin
  • Tůmová, Jana
  • Yordanov, Boyan
http://linked.open...ain/vavai/riv/wos
  • 000304609300012
http://linked.open...n/vavai/riv/zamer
issn
  • 0018-9286
number of pages
http://bibframe.org/vocab/doi
  • 10.1109/TAC.2011.2178328
http://localhost/t...ganizacniJednotka
  • 14330
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