Saturation control for fuzzy markovian switching systems with singularly perturbation and cyber-attacks

This paper is concerned with the issue of saturation control for discrete-time fuzzy Markov switching singularly perturbed systems. To describe the dynamic stochastic jumping behavior of system states, a novel nonhomogeneous Markov process is proposed, whose time-varying transition probabilities are orchestrated by a higher-level deterministic switching signal. Additionally, a novel control law is built by considering the random occurrence of cyber-attacks, and cyber-attacks rates are uncertain. Meanwhile, the saturation mechanism is adopted in designing an asynchronous controller, which is capable of eliminating the impact of cyber-attacks to a certain extent. In the end, two simulation results are provided to verify the effectiveness of the proposed methodology.