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2016 | OriginalPaper | Chapter

Scalable Verification of Linear Controller Software

Authors : Junkil Park, Miroslav Pajic, Insup Lee, Oleg Sokolsky

Published in: Tools and Algorithms for the Construction and Analysis of Systems

Publisher: Springer Berlin Heidelberg

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Abstract

We consider the problem of verifying software implementations of linear time-invariant controllers against mathematical specifications. Given a controller specification, multiple correct implementations may exist, each of which uses a different representation of controller state (e.g., due to optimizations in a third-party code generator). To accommodate this variation, we first extract a controller’s mathematical model from the implementation via symbolic execution, and then check input-output equivalence between the extracted model and the specification by similarity checking. We show how to automatically verify the correctness of C code controller implementation using the combination of techniques such as symbolic execution, satisfiability solving and convex optimization. Through evaluation using randomly generated controller specifications of realistic size, we demonstrate that the scalability of this approach has significantly improved compared to our own earlier work based on the invariant checking method.

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previous chapter PTIME Computation of Transitive Closures of Octagonal Relations
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Footnotes
1
This convention is used by Embedded Coder, a code generation toolbox for Matlab/Simulink.
 
2
We formally define the similarity transform in Sect. 5.
 
3
Note that we assume that data is exchanged with the step function via global variables.
 
4
CVC4 was chosen among other SMT solvers because it showed the best performance for our QF_LRA SMT instances.
 
5
Z3 was chosen among other SMT solvers because it showed the best performance for the generated proof obligations in our experiment.
 
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Metadata
Title
Scalable Verification of Linear Controller Software
Authors
Junkil Park
Miroslav Pajic
Insup Lee
Oleg Sokolsky
Copyright Year
2016
Publisher
Springer Berlin Heidelberg
Book
Tools and Algorithms for the Construction and Analysis of Systems

Print ISBN: 978-3-662-49673-2

Electronic ISBN: 978-3-662-49674-9

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-662-49674-9_43

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