$$H_{\infty }$$ Memory Sample-Data Control for T-S Fuzzy Network Control System with Multiple Asynchronous Deception Attacks

This paper focuses on the \(H_{\infty }\) memory sample-data (MSD) control issue of T-S fuzzy network control system (TSFNCS) with multiple asynchronous deception attacks (MADAs), which has strong application background in the network information security field. Firstly, an improved Lyapunov-Krasovskii functional (LKF) \(V_{1}(x(t))\) based on fuzzy weight membership function (FWMF) is constructed, which takes into account the nonlinear problem in LKF. Secondly, a novel two-side delay-dependent looped-functional (TSDDLF) is developed, that fully considers time varying delay (TVD) information and sampling delay information enormously enhances the information content of LKF. Then, a new criterion is developed, and a new MSD controller under MADAs is designed, to ensure that TSFNCS is asymptotically stable (AS). Finally, a numerical simulation is carried out based on the dynamic equation of the inverted pendulum system, which verifies the feasibility and effectiveness of the obtained theory.