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This study copes with the guaranteed cost problem for a class of Markovian jump Lur'e systems via sliding mode control technique, in which the scheduling of controller signals towards the actuators is regulated by the Round‐Robin protocol. This means that at each transmission instant, only one actuator node can access the transmission network and the other actuators cannot obtain any new control information. In order to deal with this phenomenon, an updating rule as compensator is proposed, based on which the other actuators utilise the past control signals stored in the corresponding buffers. Then, a mode‐token‐dependent sliding mode controller is designed, in which the characteristic of the Lur'e non‐linearities is involved. Furthermore, by introducing a new token‐dependent Lur'e‐type Lyapunov function, the stochastic stability of the resultant closed‐loop systems is analysed, and the guaranteed cost performance is attained. Finally, a dynamic Leontief input–output model is adopted to illustrate the proposed method. [ABSTRACT FROM AUTHOR]

Summary: This work considers the sliding mode control problem of a class of discrete‐time uncertain switched systems subject to detecting‐delay on mode signals, which may result in the asynchronous phenomenon between the controller and the switched system. Since the mode information of the controlled system is not available for the controller in time, a mode‐independent sliding surface will be introduced, by which an asynchronous sliding mode controller is designed, whose control gain and robust parameter will be changing according to the controller mode. In the analysis on the stability of the closed‐loop control system and the reachability of the specified sliding surface, the asynchronous characteristics are detailedly investigated. It is shown that the Lyapunov function may be not always decreasing along the state trajectories during the unmatched interval of controller modes and system modes. Nevertheless, it is proven that the state trajectories can be driven into a sliding region around the specified sliding surface in finite time. Finally, some numerical simulation results are provided. [ABSTRACT FROM AUTHOR]