Intermediate-Observed Sliding Mode Fuzzy Control for T-S Type Fuzzy Nonlinear Systems Under Cyber-Attacks and External Disturbances

Abstract

An Intermediate Observer-Based Sliding Mode (IO-BSM) fuzzy control issue is investigated for Nonlinear Cyber-Physical Systems (NCPSs) affected by deception attacks and disturbances in this research. By the representation of the T-S Fuzzy System (T-SFS), the intermediate variable-based fuzzy observer is developed to estimate unavailable system states and unpredictable deception attacks. Using the observed state and attack signals, an IO-BSM fuzzy controller is developed by the Parallel Distributed Compensation (PDC) and Sliding Mode (SM) control frameworks, which leverage the insensitivity to uncertainties and disturbances. Then, Lyapunov theory is applied to establish stability criteria, which ensure stability, accurate estimation, and convergence to the sliding surface, for the closed-loop fuzzy model. Subsequently, mathematical techniques are used to transform stability conditions into Linear Matrix Inequalities (LMIs). Therefore, the designed IO-BSM fuzzy controller can ensure the stability, reliability and network security of the NCPSs even under deception attacks and disturbances. Finally, two simulation examples are given to verify the applicability and advantage of the IO-BSM fuzzy controller design method.