Encryption-Decryption-Based Feedback Control for Parabolic PDE Systems under DoS Attacks

This paper investigates the output feedback stabi-lization problem for a parabolic partial differential equation (PDE) system which is subject to denial-of-service (DoS) jamming attacks. In order to protect privacy, the sampled data is encrypted and decrypted using the secret key before and after passing through the network, respectively. The close-loop PDE system model under network attacks based on privacy protection is established. Following the model, sufficient criteria for guaranteeing the stability of the system are put forward. Then employing the Linear matrix inequality (LMI) technique we can get the controller gain. Finally, simulation results demonstrate the effectiveness of the proposed method.