Quantized event-triggered-based finite-time H∞ control for interval type-2 fuzzy Markov jump systems with random coupling delays

In this paper, we explore finite-time H ∞ synchronization control for a class of discrete-time interval type-2 fuzzy Markov jump systems (FMJSs) which include partially unknown transition probabilities, randomly occurring coupling delays, and the controller with stochastic failures. A quantized dynamic event-triggered mechanism is suggested by incorporating the hysteresis-uniform quantizer with a dynamic event-triggered scheme to further reduce data communication overhead. Utilizing the mode-dependent Lyapunov function, the finite-time H ∞ synchronization problem of FMJSs is studied in depth from the mean-square sense. Based on the reciprocal convex method and Wirtinger’s integral inequality, sufficient conditions of the FMJSs synchronization are derived. Finally, the single-link robotic arm systems and H e ´ non systems are utilized to illustrate the practicality and validity of the proposed scheme.