This article investigates the antidisturbance security control for dual-rate systems that are vulnerable to unknown disturbances and denial-of-service (DoS) attacks. The asynchronous conflict resulting from sampled signals at different rates is further exacerbated by cyberattacks, rendering information estimation considerably more difficult. A new state reconstruction technique, based on alternating sampling-prediction (ASP) design, is developed. Specifically, during any fast update or and commu