Output-Feedback Stabilization for a Type of Stochastic Nonlinear Systems With Unknown Output Function and External Disturbances

This article investigates the output-feedback stabilization problem for a class of stochastic high-order systems with unknown output function and external disturbances. By combining the stochastic stability theorem, backstepping technique, and suitable Lyapunov function, an output-feedback controller is designed, incorporating both state controller and recursive full-order observer. So, an analytical method is proposed to address the challenges posed by the coupling of unknown output function and external disturbances for stochastic high-order nonlinear systems. And the provided controller can guarantee that the closed-loop system reaches the globally asymptotic stability in probability. Finally, the numerical simulation example is provided to show the efficacy of the proposed control approach.