FDI Attack Detection Based on L2 Gain Performance Adaptive Integral Sliding Mode Observer

This study focuses on the adaptive integral sliding mode observer, with a particular emphasis on achieving optimal $L_{2}$ gain performance. The first step involves modeling the largescale system under false data injection attacks. Next, a sliding mode surface is designed to ensure that the system state trajectory achieves asymptotic stability once it enters the sliding mode. Using Lyapunov theory and linear matrix inequality techniques, sufficient conditions for achieving optimal $L_{2}$-gain performance are established. An adaptive integral sliding mode control law is then proposed to guarantee the reachability of the sliding mode surface. Finally, simulation results demonstrate the effectiveness of the algorithm.