We present a convex optimization to reduce the impact of sensor falsification attacks in linear time invariant systems controlled by observer-based feedback. We accomplish this by finding optimal observer and controller gain matrices that minimize the size of the reachable set of attack-induced states. To avoid trivial solutions, we integrate a covariance-based ∥H∥2 closed-loop performance constraint, for which we develop a novel linearization for this typically nonlinear, non-convex problem. We demonstrate the effectiveness of this linear matrix inequality framework through a numerical case study.
@article{arxiv.1909.12452,
title = {Co-design for Security and Performance: LMI Tools},
author = {Navid Hashemi and Justin Ruths},
journal= {arXiv preprint arXiv:1909.12452},
year = {2020}
}