Automatica, Vol.54, 284-291, 2015
Finite-time stabilization of high-order stochastic nonlinear systems in strict-feedback form
This paper deals with the problem of finite-time stabilization for a class of high-order stochastic nonlinear systems in strict-feedback form. By using Ito's formula, mathematical induction and backstepping design method, a novel state-feedback controller is constructed to guarantee that the closed-loop high-order nonlinear system has a unique solution and the solution of the closed-loop high-order nonlinear system is finite-time stable. A systematic design algorithm is developed for the construction of the backstepping controller. Finally, the effectiveness of the state-feedback controller is illustrated by two examples. (C) 2015 Elsevier Ltd. All rights reserved.
Keywords:Stochastic nonlinear system;Finite-time stability;Backstepping design method;Strict-feedback;High-order system