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This study investigates the problem of finite-time output feedback stabilization in probability for a class of stochastic high-order nonlinear systems with unknown output function. By combining the homogeneous domination techniques, backstepping method and sign function, we obtain the output feedback controller that includes state controller and recursive reduced-order observer. Subsequently, we present an analytical method to deal with the unknown output function within the stochastic high-order nonlinear system such that the designed output feedback controller can make the closed-loop system globally finite-time stabilization in probability when the unknown output function belongs to the maximum open sector &#x03A9;. The numerical simulation results show that the proposed scheme is feasible.

Finite-time output feedback stabilization for high-order stochastic nonlinear systems with unknown output function