Stabilization of a Class of Stochastic Nonlinear Systems

Abstract EN

This paper addresses two control schemes for stochastic nonlinear systems.

Firstly, an adaptive controller is designed for a class of motion equations.

Then, a robust finite-time control scheme is proposed to stabilize a class of nonlinear stochastic systems.

The stability of the closed-loop systems is established based on stochastic Lyapunov stability theorems.

Links between these two methods are given.

The efficiency of the control schemes is evaluated using numerical simulations.