Compound control of discrete-time networked stochastic systems subjected to multiple disturbances and dual-channel attacks

This paper investigates the discrete-time networked stochastic systems (DNSSs) with multiple disturbances and dual-channel false data injection attacks (FDIAs), and the disturbances affecting the system include white noise and external disturbance with partially known information. In order to counteract the negative influence of disturbance, a stochastic disturbance observer (SDO) is established to estimate the external disturbance, and stochastic theory is applied to handle white noise. The FDIAs come from attacks of actuators and sensors, and for FDIAs in the actuator channel, H ∞ method is used to attenuate it by selecting appropriate coefficient. Since the state of DNSSs changes with the occurrence of FDIAs in the sensor channel, a state observer is constructed to estimate it. Based on this, a composite controller is designed to achieve asymptotically mean-square boundedness. Finally, the effectiveness of the proposed scheme is proved through two simulations.