Optimal Deception Attacks on Remote State Estimation Under Interval Constraints

In this paper, the problem of optimal deception attacks on remote state estimation is studied, where an interval χ<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> detector is set up to verify the validity of the data packets received by the remote state estimator. Malicious attackers are not only able to intercept the original measurements transmitted on the wireless network, but also obtain side information about the system states sensed by an extra sensor. First, By fusing these two types of information, an innovation-based deception attack model with combined information is proposed. Then, we present a novel stealthiness constraint and derive the covariance at the final instant of the attack interval to characterize the attack performance. Furthermore, the closed-form optimal deception attack schemes are obtained by utilizing the Lagrange method. Finally, numerical simulations and experiment results confirm the effectiveness of the proposed attack scheme.