Observer-Based Input-to-State Stabilizing Control for Multiple Transmission Channels under Denial-of-Service*

Abstract

Interests in strengthening the security of cyber-physical systems have grown exponentially in the last decade. The control research community has perceived that the feed-back loop embedded in integrated systems can be affected once attackers accomplish violations of the cyber-physical protection and detection systems. The resilient control problem for cyber-physical systems with numerous transmission channels under Denial-of-Service (DoS) is investigated in this article. First, a set of Luenberger-like observers are designed considering different transmission channels under DoS. A switching topology is developed to switch observers according to the situation of Multi-Channel DoS (MCDoS). Then a resilient control strategy is designed for the Full-Scale DoS (FSDoS). We characterize the frequency of switching observers for MCDoS and the frequency and duration of FSDoS, retaining the closed-loop system's Input-to-State Stability (ISS) in the presence of disturbance. A proper schedule of the transmission periods is developed in order to accomplish ISS.