Finite-time stabilization for a class of stochastic low-order nonlinear systems with unknown control coefficients

摘要

This paper addresses the problem of finite-time stabilization for a class of low-order stochastic upper-triangular nonlinear systems corrupted by unknown control coefficients. Unlike the relevant schemes, the control strategy draws into a dominate gain to cope with the deteriorative effects of both uncertain nonlinearities and unknown control coefficients without using traditional adaptive compensation method. Then, a state feedback controller is constructed by the adding a power integrator method and modified homogeneous domination approach, to ensure the finite-time stability of the closed-loop system. Finally, the effectiveness of proposed control strategy has been demonstrated by a simulation example.