Global Output-Feedback Stabilization for a Class of Stochastic Nonlinear Systems

Abstract

This paper aims to solve the global output-feedback stabilization problem for a class of stochastic nonlinear systems by combining observer construction and backstepping technique. Considering the fact that the system state is unmeasurable except for the output, a parameter gain is introduced to dominate nonlinearities and diffusion terms in the design of linear observer, and the backstepping is used to construct the actual output-feedback controller. A stochastic simulation example is provided to illustrate the effectiveness of the control strategy.