Sliding Mode Control for Discrete-Time Systems with Randomly Occurring Uncertainties and Nonlinearities Under Hybrid Cyber Attacks

This paper investigates the problem of sliding mode control (SMC) for a class of discrete-time stochastic systems subject to hybrid cyber attacks. Both stochastic nonlinearities and norm-bounded parameter uncertainties are introduced into the system, which occur according to mutually independent Bernoulli-distributed white noise sequences. Moreover, hybrid cyber attacks consisting of denial-of-service attack and deception attack are considered in the transmission channel. By employing the Lyapunov stability theory, sufficient conditions are established for guaranteeing the stability of the state trajectory in the specified sliding surface. Meanwhile, an SMC law is given to ensure the reachability of the specified sliding surface. Finally, a simulation example is put forward to verify the effectiveness of the proposed theoretical results.