Observer-based stabilization for networked interval type-2 fuzzy semi-Markov jump systems with cyber attacks

This paper investigates the observer-based stabilization for networked discrete interval type-2 fuzzy (IT2F) semi-Markov jump systems subject to cyber attacks. Nonlinear objects with parameter uncertainty are represented by IT2F model with more advantages than traditional T-S fuzzy model. Considering that the actual system state is unavailable, the observer-based method is adopted to deal with the system state. The main purpose is to construct sufficient conditions for the existence of observer-based controller based on fuzzy model, semi-Markov kernel (SMK) framework and ST-dependent Lyapunov functions under the case of random denial-of-service attacks, so that the underlying system is σ mean-square stable. Finally, the superiority of the proposed control method is verified by by the single-link robot arm model.