Fuzzy functional observer-based sliding mode control for T-S fuzzy cyber-physical systems subject to disturbances and deception attacks

This paper is concerned with the fuzzy functional observer-based sliding mode control for T-S fuzzy cyber-physical systems subject to disturbances and deception attacks. First, the deception attack is modeled by an exogenous system with state dependent nonlinearity. Second, a fuzzy learning functional observer with fuzzy logic systems learning unknown nonlinear function, whose parameters can be directly found, is designed to estimate the partly unavailable states, deception attacks and lumped disturbances simultaneously. Then, a fuzzy sliding mode control is designed to compensate the effect of deception attack and reject the disturbances. Furthermore, some sufficient conditions are given to guarantee that the closed-loop fuzzy system is exponential convergent. Finally, a numerical example is given to illustrate the validity of the proposed method.