Finite-time Sliding Mode Control for Interval Type-II Markov Jump Systems with Partially Known Transition Probabilities under Dynamic Event-triggered Scheme

The issue of finite-time event-triggered sliding mode control (SMC) is investigated for a class of interval type- II fuzzy Markov jump systems with partially known transition probabilities. Firstly, for the sake of saving network resources, a dynamic event-triggered scheme (DETS) is proposed to determine whether to transmit the signal or not. Then, a feasible SMC law is developed that makes the state trajectory of the system reach the specified sliding surface in finite-time. Thereafter, by means of the time partition strategy, sufficient conditions for the system to be bounded in finite-time during the arrival and sliding stages are derived. Additionally, the controller gains are computed by utilizing the linear matrix inequality (LMI) toolbox. Lastly, the advantages of the SMC strategy are verified by simulation products.