Event‐triggered switching‐dependent integral sliding mode control for networked switched linear systems with unknown nonlinear disturbance

This article investigates the event-triggered sliding mode control problem for uncertain networked switched systems with the external nonlinear disturbance. First, to reduce the utilization of the network bandwidth, a novel mode-dependent continuous-time event-triggering scheme (ETS) including the state triggering error is proposed. A switching-dependent auxiliary function called the triggering sliding mode function is constructed, which prevents the controller from using the extra information (the continuous state). Then, a novel switching-dependent integral-type switching function that depends on the states of the switching instants and includes an exponential term is proposed. Obtaining the boundary of the sliding mode region benefits from the exponential term for continuous-time systems. Then, an event-triggered sliding mode controller is designed, which makes the networked switched systems practical stability, and attains the sliding region around the specified sliding surface. When the constant threshold of the triggering scheme is zero, the system state can converge to zero as time goes to infinity. Moreover, it is proved that the Zeno behavior can be avoided under the proposed continuous-time ETS. Finally, the effectiveness of the proposed method is shown by a switched Chua's circuit system.