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Formal Controller Synthesis from Hybrid Programs

Published: 11 April 2018 Publication History

Abstract

We consider a new way of describing complex control problems for dynamic systems called hybrid programs. Hybrid program is a finite state automaton whose states describe elementary tasks of reachability and safety defined on a transition system ([3, 5]). The proposed approach to complex control problems description could be seen as an alternative to linear temporal logic (see e.g. [1]). We provide an example to illustrate the approach.

References

[1]
Calin Belta, Boyan Yordanov, and Ebru Aydin Gol. 2017. Formal Methods for Discrete-Time Dynamical Systems. Springer.
[2]
Antoine Girard. 2012. Controller synthesis for safety and reachability via approximate bisimulation. Automatica 48, 5 (2012), 947--953.
[3]
Antoine Girard, Gregor Gössler, and Sebti Mouelhi. 2016. Safety controller synthesis for incrementally stable switched systems using multiscale symbolic models. IEEE Trans. Automat. Control 61, 6 (2016), 1537--1549.
[4]
John Lygeros, Karl Henrik Johansson, Slobodan N. Simić, Jun Zhang, and S. Shankar Sastry. 2003. Dynamical Properties of Hybrid Automata. IEEE Trans. Automat. Control 48, 1 (2003), 2--17.
[5]
Paulo Tabuada. 2008. Verification and Control of Hybrid Systems: a symbolic approach. Springer.
  1. Formal Controller Synthesis from Hybrid Programs

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    cover image ACM Conferences
    HSCC '18: Proceedings of the 21st International Conference on Hybrid Systems: Computation and Control (part of CPS Week)
    April 2018
    296 pages
    ISBN:9781450356428
    DOI:10.1145/3178126
    Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

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    New York, NY, United States

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    Published: 11 April 2018

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    • Refereed limited

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    • European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme

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    HSCC '18
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    Overall Acceptance Rate 153 of 373 submissions, 41%

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