Non-fragile guaranteed cost control for fuzzy Markov jump systems under cyber-attacks and time-varying delays

This paper addresses the issue of non-fragile guaranteed cost control for networked Markov jump systems characterized by Takagi–Sugeno (T-S) fuzzy model and multiple cyber-attacks. We analyze the impacts of denial-of-service (DoS) and deception attacks, employing Bernoulli variables to represent whether these attacks appear in the transmission channel. By utilizing the Lyapunov–Krasovskii (L-K) approach along with linear matrix inequality (LMI) techniques, we derive sufficient conditions to guarantee the stochastic stability of the closed-loop system and establish an upper bound on the cost index. Furthermore, we obtain the corresponding non-fragile controller gains. Finally, the effectiveness of the proposed control scheme is confirmed by simulation results.