Dynamic‐memory event‐based asynchronous security control for positive singular semi‐Markov jumping CPSs against multiple cyber‐attacks

Abstract

This paper mainly studies the design of asynchronous controllers for positive singular semi‐Markov jump systems with performance under the dynamic‐memory event‐triggered. The positive singular semi‐Markov jump system model is established for the first time. And the dynamic‐memory event‐triggered transmission protocol is used to reduce network transmission pressure. Then, a unified cyber‐attack framework that includes DoS attacks and spoofing attacks is established. A simple hidden Markovian model (HMM) model is used to describe the asynchronous phenomena between the controller and the system. Considering the situation where all data cannot be accurately obtained in reality, a simple HMM is set as a partially unknown conditional probability matrix. Based on stochastic Lyapunov functional, the stochastically admissible conditions for the closed‐loop systems are obtained. Finally, a numerical example is given to verify the effectiveness of the proposed method.