Adaptive Dual Control Law Sliding Mode Observer to Reconstruct Cyber Attack and Compensate Power in Cyber Physical Power System

In this paper, a novel adaptive dual control law sliding mode observer (ADCL-SMO)-based scheme is designed for cyberattack detection and power compensation. A new control law is constructed by combining two control laws with different weights according to the adaptive coefficients, retaining the robustness of the sliding mode structure and improving the tracking accuracy of the observer. The detector is designed as an interval detector, and consists of a threshold detection logic detector and an integration detector to detect both real-time and historical data output from the observer. Additionally, a power compensation scheme is devised for the compromised power system, enabling the attainment of minimal economic consumption via an iterative $\lambda$-consensus algorithm.Numerical simulations are used to evaluate the proposed attack detection scheme and power compensation scheme. Hardware-in-the-loop simulations are performed to demonstrate the feasibility of the detection scheme simulation results in real-time devices.