Observer-Based Dynamic Event-Triggered Reliable Reachable Set Synthesis of Networked Semi-Markov Jump Systems Against DoS Attacks and Actuator Faults

Abstract

This study tackles the reliable reachable set synthesis issue for a class of hidden semi-Markov jump systems (HSMJSs). Due to the inaccessibility of system states and the asynchronous phenomenon in the information transmission process, the study of HSMJSs faces significant challenges. To address these challenges, a state observer is designed, and a dynamic event-triggered mechanism based on the observed signal is introduced to effectively alleviate the communication load. In addition, the security of the network channel can be easily compromised by denial-of-service attacks. To mitigate these issues, a secure asynchronous controller (SAC) is constructed based on an observer and a hidden Markov model. Then, the reachable set boundaries are derived by combining the designed observer and the SAC. The gains of the controller and the observer are attained. Finally, a circuit model is provided to demonstrate the validity and practicability of the proposed approach.