English

A Satisfiability Modulo Theory Approach to Secure State Reconstruction in Differentially Flat Systems Under Sensor Attacks

Optimization and Control 2015-09-11 v1 Cryptography and Security Information Theory Systems and Control math.IT

Abstract

We address the problem of estimating 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 estimate 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.

Keywords

Cite

@article{arxiv.1509.03262,
  title  = {A Satisfiability Modulo Theory Approach to Secure State Reconstruction in Differentially Flat Systems Under Sensor Attacks},
  author = {Yasser Shoukry and Pierluigi Nuzzo and Nicola Bezzo and Alberto L. Sangiovanni-Vincentelli and Sanjit A. Seshia and Paulo Tabuada},
  journal= {arXiv preprint arXiv:1509.03262},
  year   = {2015}
}

Comments

arXiv admin note: text overlap with arXiv:1412.4324

R2 v1 2026-06-22T10:53:58.764Z