Ultimately bounded control for nonlinear systems under denial-of-service attacks: an accumulation-based event-triggered mechanism

This paper investigates the control problem for nonlinear systems under denial-of-service (DoS) attacks. In contrast to traditional event-triggered mechanisms (ETMs), an accumulation-based ETM, which is robust to abrupt signals, is employed to schedule the signal transmission between sensors and controllers, thereby saving more communication resources. Due to the openness of network-based transmission, DoS attacks are encountered during data transmissions, where the DoS attacks considered in this paper follow the Bernoulli distribution. This paper aims to design a controller for nonlinear systems considering the impact of DoS attacks and accumulation-based ETMs, ensuring that the controlled system state is ultimately bounded in the mean square. Firstly, sufficient conditions are provided to guarantee that the system state can achieve the given control performance, along with an explicit expression for the ultimate bound. Then, the controller gains are obtained by solving certain linear matrix inequalities. Finally, two simulation examples are conducted to validate the effectiveness of the designed controller.