Optimal Jamming Strategy Against Periodically Switched Linear Discrete-Time System

In recent years, state estimation of the switched linear discrete-time system has attracted wide attention, especially in the presence of external disturbances. We consider the secure state estimation of a periodically switched linear discrete-time system. We first analyze the stability of the periodically switched linear discrete-time system. Then, we consider the existence of a jamming attacker against remote state estimation. From the perspective of the attacker, we aim to find the optimal attack strategy to maximize the average estimation error. We transform the optimal attack strategy problem into Markov Decision Process (MDP) problem and propose an algorithm to reduce the computational complexity. Finally, numerical examples are provided to illustrate the obtained results.