Observer-based control for nonlinear neutral type stochastic model with fractional Gaussian noise and input saturation

This paper discusses the stabilization issue for a class of nonlinear neutral-type stochastic systems subject to time-varying delays, linear fractional uncertainties, actuator faults, input saturation and fractional stochastic noise. Primarily, the derivation analysis for the stability and stabilization for the addressed systems is carried out by adopting a fractional infinitesimal operator. A fault-tolerant controller under saturation effect will be designed in order to guarantee the stabilization of the considered systems. Further, a set of stability criteria is obtained with the help of the fractional infinitesimal operator and by choosing a suitable Lyapunov-Krasovskii functional. These stability criteria are derived in the form of linear matrix inequalities that are solved by the MATLAB LMI toolbox. Finally, simulation results are provided to illustrate the effectiveness of our findings through a numerical example.