Constraining Attacker Capabilities Through Actuator Saturation
Abstract
For LTI control systems, we provide mathematical tools  in terms of Linear Matrix Inequalities  for computing outer ellipsoidal bounds on the reachable sets that attacks can induce in the system when they are subject to the physical limits of the actuators. Next, for a given set of dangerous states, states that (if reached) compromise the integrity or safe operation of the system, we provide tools for designing new artificial limits on the actuators (smaller than their physical bounds) such that the new ellipsoidal bounds (and thus the new reachable sets) are as large as possible (in terms of volume) while guaranteeing that the dangerous states are not reachable. This guarantees that the new bounds cut as little as possible from the original reachable set to minimize the loss of system performance. Computer simulations using a platoon of vehicles are presented to illustrate the performance of our tools.
 Publication:

arXiv eprints
 Pub Date:
 October 2017
 arXiv:
 arXiv:1710.02576
 Bibcode:
 2017arXiv171002576H
 Keywords:

 Computer Science  Systems and Control;
 Mathematics  Dynamical Systems;
 Mathematics  Optimization and Control