A Recursive Method to Encryption-Decryption-Based Distributed Set-Membership Filtering for Time-Varying Saturated Systems Over Sensor Networks

Dear Editor, This letter deals with the distributed recursive set-membership filtering (DRSMF) issue for state-saturated systems under encryption-decryption mechanism. To guarantee the data security, the encryption-decryption mechanism is considered in the signal transmission process. Specifically, a novel DRSMF scheme is developed such that, for both state saturation and encryption-decryption mechanism, the filtering error (FE) is limited to the ellipsoid domain. Then, the filtering error constraint matrix (FECM) is computed and a desirable filter gain is derived by minimizing the FECM. Besides, the bound-edness evaluation of the FECM is provided.