A dual-driven event-triggered mechanism for observer-based sliding mode control of stochastic uncertain Markov jump systems

This paper investigates the problem of observer-based sliding mode control (SMC) of stochastic uncertain Markov jump systems using dual-driven event-triggered mechanism (ETM). The ETM is implemented not only in the system output to the observer channel but also in the feedback channel, forming a dual ETM, which can effectively reduce communication load. By designing a state observer, the error dynamics is derived, and subsequently, sliding mode dynamics (SMD) are formulated by proposing a specific type of integral sliding surface. Moreover, a SMC law is put forward to guarantee the attainment of the sliding surface by the system state within a finite time and to maintain the state within the domain of the sliding surface. Furthermore, sufficient conditions for the closed-loop system are established to ensure both the stochastic stability and a prescribed (Formula presented.) performance through linear matrix inequalities. Finally, two examples are provided to demonstrate the effectiveness of the proposed results.