Fuzzy adaptive resilient control against unknown false data injection attacks for high-order nonlinear systems with actuator failures

An adaptive resilient control technique for high-order nonlinear systems with actuator failures is presented in this work. The unknown false data injection (FDI) attacks make all controlled system states unavailable. To counteract this negative impact of FDI attacks, a new coordinate transformation is constructed during the procedure of recursive design. Moreover, the effect of the actuator faults is completely eliminated by skillfully designing the controller and the adaptive laws. On the basis of the backstepping technology and the Nussbaum gain technique, an adaptive resilient control strategy is presented by using compromised state variables, which ensures all the signals of the closed-loop system is bounded when the sensor is attacked. Compared with the existing results, the proposed control approach not only solves the resilient control problem of high-order nonlinear systems whose powers are positive odd numbers, but also eliminates the assumption that the attack weights are positive. In the end, a simulation result is presented to verify the feasibility of the designed scheme.