Title: Resilient Feedback Controller Design For Linear Model of Power Grids,
Abstract: In this paper, a resilient controller is designed for the linear
time-invariant (LTI) systems subject to attacks on the sensors and the
actuators. A novel probabilistic attack model is proposed to capture
vulnerabilities of the communication links from sensors to the controller and
from the controller to actuators. The observer and the controller formulation
under the attack are derived. Thereafter, By leveraging Lyapunov functional
methods, it is shown that exponential mean-square stability of the system under
the output feedback controller is guaranteed if a certain LMI is feasible. The
simulation results show the effectiveness and applicability of the proposed
controller design approach.