Output-feedback control of a class of high-order stochastic nonlinear systems satisfying power growth conditions

This paper investigates the output-feedback stabilization problem for a class of high-order stochastic nonlinear systems in which the nonlinear vector terms depend on the unmeasurable states besides the measurable output. Different from existing papers, we extend the linear growth conditions to the power growth conditions so as to allow the result to apply to the more general situations. We give a design of output-feedback controller by using backstepping design technique. The gain parameter is chosen to make the closed-loop system globally asymptotically stable in probability. The efficiency of the output-feedback controller is demonstrated by a numerical simulation.