Global Asymptotic Output Feedback Stabilization for a Class of Stochastic High-Order Planar Systems

This paper focuses on the global asymptotic stabilization problem for a class of single-input single-output stochastic high-order planar systems via output feedback. By adopting the adding a power integrator technique and designing an implementable observer, an output feedback controller is constructed to guarantee that the closed-loop system is globally asymptotically stable in probability and the output can be regulated to the origin almost surely. The numerical example is given to demonstrate the effectiveness of the proposed design scheme.