Observer-based hybrid event-triggered sliding mode control of uncertain Markov jump systems

This paper presents an innovative hybrid event-triggered mechanism for effectively controlling Markov jump systems with uncertainty using sliding mode control. Firstly, an integral sliding surface is established through the design of a Lebesgue state observer. Secondly, a combined event-triggered mechanism relying on state components, output measurement, sliding surface variable, along with a discretized controller, is constructed to ensure finite time quasi-sliding motion. Thirdly, the analysis is undertaken for the stochastic stability performance of the overall closed-loop system using the stochastic Lyapunov function method. Additionally, the exclusion of the Zeno phenomenon is proven. Finally, a simulation study on the circuit is conducted to demonstrate effectiveness.