Security Control for 2-D Fuzzy Systems Under Unreliable Markov Communication Networks Susceptible to Hybrid Cyberattacks

This work considers the$H\_{\infty }$fuzzy control issue of 2-D fuzzy systems susceptible to hybrid cyberattacks due to the unreliable communication networks modeled by the Markov chain, in which the hybrid cyberattacks include deception attacks and denial-of-service attacks. Meanwhile, considering the concealment characteristics of cyberattacks, it may be impossible to know which type of attack the system is suffered. Therefore, a unified hidden Markov model is used in this work, in which the hidden mode represents the real attack mode, the observed mode is the estimated value of the attack mode and it can be directly utilized by the designed security controller. By utilizing the attack mode-dependent Lyapunov function, the asymptotically mean square stability of the 2-D resultant system can be ensured and a set of sufficient conditions can be obtained. Finally, two illustrative examples are provided to demonstrate the applicability of the obtained results.