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CLSE: Closed-Loop Symbolic Execution

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NASA Formal Methods (NFM 2012)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 7226))

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Abstract

We present CLSE, a closed-loop symbolic execution engine for control system implementations. CLSE takes as input the description of a physical plant represented by a system of linear ordinary differential equations, the software implementation and execution frequency for a discrete-time controller that senses and actuates the plant, and a time horizon, and symbolically executes the closed-loop system —the combination of the plant and the controller— up to the time horizon. The execution helps capture the bounded-time dynamics of the system in terms of the finite sequences of the plant’s sampled state-sets and symbolic control inputs. We show the use of CLSE in symbolic execution of a set of control systems benchmarks. Using the symbolic execution engine, we also build a robustness analysis tool which computes the maximum deviation of the states of the plant due to measurement uncertainties in the controller up to the time horizon.

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Author information

Authors and Affiliations

  1. University of California, Los Angeles, United States

    Rupak Majumdar & Indranil Saha

  2. Max-Planck Institute for Software Systems, Germany

    Rupak Majumdar, K. C. Shashidhar & Zilong Wang

Authors
  1. Rupak Majumdar
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  2. Indranil Saha
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  3. K. C. Shashidhar
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  4. Zilong Wang
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Editor information

Editors and Affiliations

  1. NASA Langley Research Center, MS 130, 23681, Hampton, VA, USA

    Alwyn E. Goodloe  & Suzette Person  & 

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© 2012 Springer-Verlag Berlin Heidelberg

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Majumdar, R., Saha, I., Shashidhar, K.C., Wang, Z. (2012). CLSE: Closed-Loop Symbolic Execution. In: Goodloe, A.E., Person, S. (eds) NASA Formal Methods. NFM 2012. Lecture Notes in Computer Science, vol 7226. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28891-3_33

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  • DOI: https://doi.org/10.1007/978-3-642-28891-3_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28890-6

  • Online ISBN: 978-3-642-28891-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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