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

ABSTRACT 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.