Adaptive Sliding Mode Control for Optimal Script capital L₂-gain Performance of Interconnected Large-scale Cyber Physical Systems Under FDIAs Environments

Aiming at a class of large-scale cyber physical systems (LSCPSs) with multiple subsystems nonlinearly interconnected under false data injection attacks (FDIAs), the problems of Script capital L-2-gain performance analysis and sliding mode control are studied. First, the quadratical stability criteria with Script capital L-2-gain performance of the sliding dynamics of LSCPSs are derived by linear matrix inequalities (LMIs) technology. Then adaptive integral sliding mode controllers are designed, which include two parts: one part is designed for suppressing the influences of FDIAs on the systems, and the other part is used to deal with factors such as quantization errors, external interferences, nonlinear interconnections, and model uncertainties. Finally, the comparison results of simulation examples show the effectiveness and superiority of the established methods.