Secure State Reconstruction in Differentially Flat Systems Under Sensor Attacks Using Satisfiability Modulo Theory Solving
Yasser Shoukry, Pierluigi Nuzzo, Nicola Bezzo, Alberto Sangiovanni-Vincentelli, Sanjit Seshia, Paolo Tabuada

Citation
Yasser Shoukry, Pierluigi Nuzzo, Nicola Bezzo, Alberto Sangiovanni-Vincentelli, Sanjit Seshia, Paolo Tabuada. "Secure State Reconstruction in Differentially Flat Systems Under Sensor Attacks Using Satisfiability Modulo Theory Solving". Conference on Decision and Control (CDC 2015), IEEE, 15, December, 2015.

Abstract
We address the problem of reconstructing the state of a differentially flat system from measurements that may be corrupted by an adversarial attack. In cyber-physical systems, malicious attacks can directly compromise the system's sensors or manipulate the communication between sensors and controllers. We consider attacks that only corrupt a subset of sensor measurements. We show that the possibility of reconstructing the state under such attacks is characterized by a suitable generalization of the notion of s-sparse observability, previously introduced by some of the authors in the linear case. We also extend our previous work on the use of Satisfiability Modulo Theory solvers to reconstruct the state under sensor attacks to the context of differentially flat systems. The effectiveness of our approach is illustrated on the problem of controlling a quadrotor under sensor attacks.

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  • HTML
    Yasser Shoukry, Pierluigi Nuzzo, Nicola Bezzo, Alberto
    Sangiovanni-Vincentelli, Sanjit Seshia, Paolo Tabuada. <a
    href="http://www.terraswarm.org/pubs/615.html"
    >Secure State Reconstruction in Differentially Flat
    Systems Under Sensor Attacks Using Satisfiability Modulo
    Theory Solving</a>, Conference on Decision and Control
    (CDC 2015), IEEE, 15, December, 2015.
  • Plain text
    Yasser Shoukry, Pierluigi Nuzzo, Nicola Bezzo, Alberto
    Sangiovanni-Vincentelli, Sanjit Seshia, Paolo Tabuada.
    "Secure State Reconstruction in Differentially Flat
    Systems Under Sensor Attacks Using Satisfiability Modulo
    Theory Solving". Conference on Decision and Control
    (CDC 2015), IEEE, 15, December, 2015.
  • BibTeX
    @inproceedings{ShoukryNuzzoBezzoSangiovanniVincentelliSeshiaTabuada15_SecureStateReconstructionInDifferentiallyFlatSystems,
        author = {Yasser Shoukry and Pierluigi Nuzzo and Nicola
                  Bezzo and Alberto Sangiovanni-Vincentelli and
                  Sanjit Seshia and Paolo Tabuada},
        title = {Secure State Reconstruction in Differentially Flat
                  Systems Under Sensor Attacks Using Satisfiability
                  Modulo Theory Solving},
        booktitle = {Conference on Decision and Control (CDC 2015)},
        organization = {IEEE},
        day = {15},
        month = {December},
        year = {2015},
        abstract = {We address the problem of reconstructing the state
                  of a differentially flat system from measurements
                  that may be corrupted by an adversarial attack. In
                  cyber-physical systems, malicious attacks can
                  directly compromise the system's sensors or
                  manipulate the communication between sensors and
                  controllers. We consider attacks that only corrupt
                  a subset of sensor measurements. We show that the
                  possibility of reconstructing the state under such
                  attacks is characterized by a suitable
                  generalization of the notion of s-sparse
                  observability, previously introduced by some of
                  the authors in the linear case. We also extend our
                  previous work on the use of Satisfiability Modulo
                  Theory solvers to reconstruct the state under
                  sensor attacks to the context of differentially
                  flat systems. The effectiveness of our approach is
                  illustrated on the problem of controlling a
                  quadrotor under sensor attacks.},
        URL = {http://terraswarm.org/pubs/615.html}
    }
    

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