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

Abstract 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 performance through linear matrix inequalities. Finally, two examples are provided to demonstrate the effectiveness of the proposed results.