Resilient Feedback Controller Design For Linear Model of Power Grids

TL;DR

This paper introduces a resilient feedback controller for linear power grid models that maintains stability under sensor and actuator attacks using a probabilistic attack model and Lyapunov-based LMIs.

Contribution

It presents a novel probabilistic attack model and a Lyapunov-based LMI approach for designing resilient controllers for linear power grid systems under cyber-attacks.

Findings

System remains exponentially mean-square stable under attack.

Proposed controller effectively mitigates sensor and actuator attack effects.

Simulation confirms the approach's effectiveness and practical applicability.

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.