Further results on output feedback control for a class of high order stochastic nonlinear systems with more general conditions

In this paper, the output feedback stabilization problem is addressed by using appropriate Lyapunov Krasovskii functions and backstepping design technique 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 and change the high order index from constant value to varying value in order to allow the result to apply to the more general situations. The maximum value interval of observer gain parameter is chosen to ensure the closed-loop system globally asymptotically stable in probability. The efficiency of the output-feedback controller is demonstrated by a numerical simulation.