Output-feedback stabilization of a class of stochastic nonlinear systems with time-varying powers

This article considers the output-feedback control problem for a class of stochastic high-order nonlinear systems with time-varying powers. In the control design process, by choosing proper upper and lower bounds for time-varying powers, a state observer is constructed to estimate the unmeasured states. With the help of the adding a power integrator technique, the backstepping technique, and homogeneous domination design method, an output-feedback control scheme is designed. The closed-loop systems can be proved to be globally asymptotically stable in probability. Finally, the efficiency of the presented control method is verified by a simulation example.

Automated summary

This article considers the output-feedback control problem for a class of stochastic high-order nonlinear systems with time-varying powers. A state observer is constructed to estimate the unmeasured states, and an output-feedback control scheme is designed using adding a power integrator technique, the backstepping technique, and homogeneous domination design method. The closed-loop systems are proven to be globally asymptotically stable in probability, and the efficiency of the control method is verified through a simulation example.