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A Simplex Architecture for Hybrid Systems Using Barrier Certificates

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Computer Safety, Reliability, and Security (SAFECOMP 2017)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 10488))

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Abstract

This paper shows how to use Barrier Certificates (BaCs) to design Simplex Architectures for hybrid systems. The Simplex architecture entails switching control of a plant over to a provably safe Baseline Controller when a safety violation is imminent under the control of an unverified Advanced Controller. A key step of determining the switching condition is identifying a recoverable region, where the Baseline Controller guarantees recovery and keeps the plant invariably safe. BaCs, which are Lyapunov-like proofs of safety, are used to identify a recoverable region. At each time step, the switching logic samples the state of the plant and uses bounded-time reachability analysis to conservatively check whether any states outside the zero-level set of the BaCs, which therefore might be non-recoverable, are reachable in one decision period under control of the Advanced Controller. If so, failover is initiated.

Our approach of using BaCs to identify recoverable states is computationally cheaper and potentially more accurate (less conservative) than existing approaches based on state-space exploration. We apply our technique to two hybrid systems: a water tank pump and a stop-sign-obeying controller for a car.

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Acknowledgments

Author Abhishek Murthy contributed to this research as part of his doctoral studies at Stony Book University. This work is supported in part by AFOSR Grant FA9550-14-1-0261, NSF Grants IIS-1447549, CNS-1421893, CNS-1446832, CNS-1445770, CNS-1445770, and CCF-1414078, and ONR Grant N00014-15-1-2208. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of these organizations.

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Authors and Affiliations

  1. Department of Computer Science, Stony Brook University, Stony Brook, USA

    Junxing Yang, Scott A. Smolka & Scott D. Stoller

  2. Department of Computer Science, Carnegie Mellon University, Pittsburgh, USA

    Md. Ariful Islam

  3. Philips Lighting Research North America, Cambridge, USA

    Abhishek Murthy

Authors
  1. Junxing Yang
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  2. Md. Ariful Islam
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  3. Abhishek Murthy
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  4. Scott A. Smolka
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  5. Scott D. Stoller
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Corresponding author

Correspondence to Junxing Yang .

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Editors and Affiliations

  1. Fondazione Bruno Kessler, Trento, Italy

    Stefano Tonetta

  2. AIT Austrian Institute of Technology, Vienna, Austria

    Erwin Schoitsch

  3. Thales Deutschland GmbH, Ditzingen, Germany

    Friedemann Bitsch

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Yang, J., Islam, M.A., Murthy, A., Smolka, S.A., Stoller, S.D. (2017). A Simplex Architecture for Hybrid Systems Using Barrier Certificates. In: Tonetta, S., Schoitsch, E., Bitsch, F. (eds) Computer Safety, Reliability, and Security. SAFECOMP 2017. Lecture Notes in Computer Science(), vol 10488. Springer, Cham. https://doi.org/10.1007/978-3-319-66266-4_8

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  • DOI: https://doi.org/10.1007/978-3-319-66266-4_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-66265-7

  • Online ISBN: 978-3-319-66266-4

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