Resilient Feedback Controller Design For Linear Model of Power Grids
It addresses the problem of cyber-physical security for power grid operators, but the approach is incremental as it applies existing LMI-based stability techniques to a new attack model.
The paper designs a resilient output feedback controller for linear power grid models subject to probabilistic sensor and actuator attacks, proving exponential mean-square stability via Lyapunov methods and demonstrating effectiveness through simulations.
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.