Aperiodic event-triggered impulsive control for impulsive switched systems under Denial-of-service attacks

This paper investigates the input-to-state stability (ISS) problem for nonlinear impulsive switched systems under aperiodic event-triggered impulsive control in the presence of Denial-of-service (DoS) attacks. First, by integrating sampled control, event-triggered control, and impulsive control, a novel aperiodic sampled-data event-triggered impulsive mechanism is proposed. Compared with traditional control methods, this mechanism flexibly adjusts the sampling frequency to reduce excessive triggering caused by oversampling, thereby significantly lowering energy consumption and avoiding computational resource waste. Moreover, by setting a minimum sampling interval, Zeno behavior is effectively avoided. Second, by employing the interpolation method and the mode-dependent average dwell time approach, a new multiple Lyapunov function (MLF) is constructed through the interpolation of multiple discontinuous Lyapunov functions. This function maintains continuity and smoothness during the dwell time intervals, thus avoiding complex discussions at the partition points caused by dividing the dwell time intervals. Furthermore, under DoS attacks, an event-triggered update mechanism is designed, where the transmission status is determined via acknowledgment (ACK) signals to prevent the controller state from remaining unupdated for extended periods. Finally, simulation results verify the effectiveness of the proposed strategy, demonstrating that even when both the sensor-controller and controller-actuator channels are simultaneously subject to DoS attacks, the nonlinear impulsive switched system can maintain ISS.