A DoS-resilient Set-Theoretic Controller for Smart Grid Applications

In this paper, we address the problem of designing a Denial of Service (DoS)-resilient controller for robustly recovering transient stability in smart grids. In particular, we consider a scenario where, during the recovery phase, a finite-time DoS attack affects the measurement channel. We propose a Model Predictive Control (MPC) controller based on the set-theoretic arguments, which is capable of dealing with both model uncertainties, actuator limitations and DoS. Unlike traditional robust MPC solutions, the proposed controller is particularly appealing for smart grid applications given its intrinsic capability of moving most of the required computations into an offline phase. The online phase requires the solution of a quadratic programming problem, which can be efficiently solved in real-time. Moreover, the proposed controller ensures a worst-case time to recovery irrespective of any admissible perturbation and DoS realization. Finally, by considering the New England 10-generator 39-bus system, simulation results are presented to show the advantage of the proposed solution when contrasted with another recently proposed scheme.