Asynchronous Sliding Mode Control under Round-Robin Protocol-Based Event-Triggered Communication

This article deals with the problem of sliding-mode variable-structure control (VSC) under dynamic event-triggered communication, for hidden Markov jump systems over sensor networks. A round-robin protocol (RRP)-based event-triggering communication mechanism is proposed to significantly mitigate the burden of communication between the sensor network and the controller. Then, new static output-feedback VSC laws are designed, with an interval type-2 fuzzy neural network integrated to approximate uncertain system perturbations. Unlike existing results that the RRP is applied to discrete-time systems due to its relatively simple analysis, this work develops some techniques to analyze the RRP-based Markov jump system in continuous time. Sufficient conditions of the semiglobal practical finite-time stochastic stability are provided for the resulting variable-structure system. Finally, the feasibility of the proposed method is verified via numerical simulations.