Finite-Time Output Feedback Stabilization of Stochastic High-Order Feedforward Nonlinear Systems with Unknown Output Function

In this paper, the finite-time output feedback control problem of a class of stochastic high-order feedforward nonlinear systems with unknown output functions is studied. In order to solve this problem, we introduce suitable virtual controller and reduced-order observer, and find the maximum open sector $\Gamma$ of the system. When the unknown output function belongs to $\Gamma$, the system can achieve finite-time output feedback stabilization in probability under the action of the controller. Finally, the effectiveness of the proposed control scheme is demonstrated through numerical examples.