A State Estimation and Malicious Attack Game in Multi-Sensor Dynamic Systems
For researchers in secure state estimation, this work provides a game-theoretic framework for optimal sensor selection under false information injection attacks.
This paper models the interaction between a Kalman filter and an adversary in multi-sensor dynamic systems as a two-person zero-sum game, deriving optimal strategies for both sides by solving a minimax problem and demonstrating effectiveness through numerical results.
In this paper, the problem of false information injection attack and defense on state estimation in dynamic multi-sensor systems is investigated from a game theoretic perspective. The relationship between the Kalman filter and the adversary can be regarded as a two-person zero-sum game. Under which condition both sides of the game will reach the Nash equilibrium is investigated in the paper. The multi-sensor Kalman filter system and the adversary are supposed to be rational players. The Kalman filter and the adversary have to choose their respective subsets of sensors to perform system state estimation and false information injection. It is shown how both sides pick their strategies in order to gain more and lose less. The optimal solutions are achieved by solving the minimax problem. Numerical results are also provided in order to illustrate the effectiveness of the derived optimal strategies.