Event-triggered secure control for networked positive systems under DoS attacks

This paper aims to address the problem of secure control for a class of networked positive systems subject to denial-of-service (DoS) attacks under event-triggered scheme. DoS attacks involve with limited frequency and duration, which block the transmission of control input. According to the sleeping or activating status of DoS attacks, a switched positive system model composed of two positive subsystems is constructed. By considering the positive property of states and the effects of DoS attacks, a new event-triggering scheme is proposed. By using the matrix decomposition technique, the gain matrix of the event-triggered controller is parameterized as a combination of non-positive and non-negative components. Under such designed controller, a sufficient criterion is derived to guarantee the positive property and stability of the corresponding system. At last, a numerical example is carried out to substantiate the proposed result.