Output feedback stabilization for stochastic high-order nonlinear systems with SISS-like inverse dynamic

The output feedback stabilization problem for a class of stochastic high-order nonlinear systems with SISS-like inverse dynamic is investigated in this paper. Firstly, by using the adding a power integrator technique and solving several troublesome obstacles in the controller design procedure, an output feedback controller is constructed such that the closed-loop system is globally asymptotically stable in probability and the output can be regulated to the origin almost surely. Furthermore, the above-mentioned results are extended to more general stochastic high-order nonlinear systems. Finally, a simulation example is provided to show the effectiveness of the proposed design method.