Dynamic-memory event-based asynchronous security control for T-S fuzzy singular semi-Markov jump systems against multi-cyber attacks

In this paper, the design of reliable asynchronous controller for a class of Takagi Sugeno (T-S) fuzzy singular semi-Markov jump system (SSMJS) with an dynamic-memory event-triggered (DMET) transmission scheme against multiple cyber attacks. In order to improve the reliability of data transmission, the dynamic-memory event-triggered transmission scheme is proposed. A multi-cyber attacks model is established to formulate the simultaneous occurrences of deception attacks and DoS attacks. Since the modes information can not be acquired by the actual controller in real-time, the hidden Markov model (HMM) is used to describe the asynchronous phenomenon. The asynchronous controller with partly known conditional probability is properly designed, which reduces the conservatism to some extent. According to methods of stochastic Lyapunov functional and free-weighting matrices, the criteria of exponentially admissible for closed-loop system is obtained. Based on a set of linear matrix inequalities, a unified co-design method for the asynchronous controller with partial known conditional probability under the dynamic-memory event-triggered transmission scheme is proposed. Finally, the effectiveness of the proposed method is verified by comparing DMET scheme with other triggering schemes. (c) 2022 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.