Event-Triggered Secure Control of Positive Networked Control Systems Under Multi-Channels Attacks

Abstract

This paper focuses on the secure control of positive networked control systems under multi-channel attacks characterized by a Bernoulli distribution. Specifically, the sensor-to-controller channel suffers from false data injection (FDI) attacks, whereas the controller-to-actuator channel suffers from denial of service (DoS) attacks. The objective is to design a static output feedback controller that guarantees the positivity and stochastic stability of the closed-loop system in the presence of DoS and FDI attacks. To conserve communication resources, we employ an event-triggered scheme to reduce the frequency of information transmission. Due to the positivity of the system, the proposed event-triggering mechanism employs the 1-norm form instead of the 2-norm form, which allows that the controller parameter is determined via linear programming rather than LMI technique. Finally, two simulation examples are provided to verify the effectiveness of our methods.