A new class of stabilizing controllers for stochastic nonlinear systems with mismatched conditions

Affiliation of Author(s):民航学院

Journal:TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL

Key Words:Stochastic nonlinear systems uncertainty mismatched condition asymptotic stability in probability

Abstract:This paper considers global asymptotic stabilization in probability for a class of cascaded stochastic nonlinear systems. The uncertainties do not meet the general matched conditions, and only boundedness of the uncertainties is assumed. Drawing on the stochastic asymptotic stability theorem, a novel robust controller is constructed based on the state transformation technique and the gradient method, which ensures that the closed-loop systems are globally asymptotically stable in probability. A numerical example is given to illustrate the effectiveness of the result.

ISSN No.:0142-3312

Translation or Not:no

Date of Publication:2018-10-01

Co-author:Chen, Ye-Hwa

Correspondence Author:lgf

Date of Publication:2018-10-01