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Accurate Abstractions for Controller Synthesis with Non-uniform Disturbances

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Formal Methods and Software Engineering (ICFEM 2020)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 12531))

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Abstract

Abstraction-Based Controller Synthesis (ABCS) is an emerging field for automatic synthesis of correct-by-design controllers for non-linear dynamical systems in the presence of bounded disturbances. Existing ABCS techniques assume a global (state-independent) and uniform upper bound on disturbances. This can be overly pessimistic, resulting in a failure to find a controller. In this paper, we extend ABCS to accurately compute abstractions for system models with state and input-dependent non-uniform disturbances. This requires a subtle assume-guarantee style computation of the state evolution and the estimation of the error. We empirically show the benefit of our approach with significantly smaller amount of non-determinism in the abstract transitions.

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Notes

  1. 1.

    We restrict our notation to piecewise constant control inputs as more general control inputs will be unnecessary for the later part.

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Author information

Authors and Affiliations

  1. SKLCS, Institute of Software Chinese Academy of Sciences, University of Chinese Academy of Sciences, Beijing, China

    Yunjun Bai

  2. MPI-SWS, Kaiserslautern, Germany

    Kaushik Mallik

Authors
  1. Yunjun Bai
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  2. Kaushik Mallik
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Corresponding author

Correspondence to Yunjun Bai .

Editor information

Editors and Affiliations

  1. Nanyang Technological University, Singapore, Singapore

    Shang-Wei Lin

  2. School of Information and Communication Technology, Griffith University, Nathan Campus, QLD, Australia

    Zhe Hou

  3. Defence Science and Technology Group, Denver, CO, USA

    Brendan Mahony

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Bai, Y., Mallik, K. (2020). Accurate Abstractions for Controller Synthesis with Non-uniform Disturbances. In: Lin, SW., Hou, Z., Mahony, B. (eds) Formal Methods and Software Engineering. ICFEM 2020. Lecture Notes in Computer Science(), vol 12531. Springer, Cham. https://doi.org/10.1007/978-3-030-63406-3_18

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  • DOI: https://doi.org/10.1007/978-3-030-63406-3_18

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-63405-6

  • Online ISBN: 978-3-030-63406-3

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