Secure Control for Switched Positive Systems Against False Data Injection Attacks

In this paper, based on the average dwell time (ADT) switching policy, the issue of secure control, for discrete-time switched positive systems, is studied under false data injection (FDI) attacks. Attacks are considered as a unforeseen behavior that occur randomly through network communication, and can be appropriately characterized by Bernoulli random variables. Feedback controllers are developed for individual subsystems, a suitable copositive Lyapunov-Krasovskii functional (LKF) is built, and the stochastic stability criterion of switched positive delayed systems under FDI attacks is also established. Eventually, an academic example is provided to confirm the efficacy of the suggested scheme.