Asynchronous SMC for discrete fuzzy networked semi-Markov jump systems with cyber attacks

Abstract

The observer-based asynchronous sliding mode control (SMC) strategy is proposed for network-based discrete nonlinear semi-Markov jump systems in complex environments with mode mismatch phenomenon between the system and the controller. Due to the uncertain parameters in the networked systems, the interval type-2 fuzzy model is adopted to describe the nonlinear object. In the complex network environment, the communication links are affected by many factors, in which packet loss, signal quantization, and cyber-attacks are considered simultaneously. Affected by unreliable communication links, it is difficult to obtain the actual state information completely, where the observe-based control strategy is adopted. According to the semi-Markov kernel, interval type-2 fuzzy, and ST-dependent Lyapunov function, sufficient conditions are established so that the related system is $\sigma$-error mean-square stable. Furthermore, an observer-based asynchronous SMC mechanism is established to ensure the reachability of the sliding region. Ultimately, the tunnel diode circuit model is presented to confirm the effectiveness of the proposed method.