Controller design for stochastic nonlinear systems with matched conditions

Affiliation of Author(s):民航学院

Journal:JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS

Key Words:stochastic nonlinear systems uncertainty matched conditions global boundedness in probability

Abstract:This paper is concerned with the global boundedness problem for a class of stochastic nonlinear systems with matched conditions. The uncertainties in the systems are due to parameter variations and external stochastic disturbance. Only the matched conditions and the possible bound of the uncertainties are demanded. Based on the stochastic Lyapunov stability theory, an explicit controller is constructed in the gradient direction, which renders responses of the closed-loop systems be globally bounded in probability. When the systems degrade to linear systems, the controller becomes linear. Illustrative examples are given to show the effectiveness of the proposed method.

ISSN No.:1004-4132

Translation or Not:no

Date of Publication:2018-02-01

Co-author:Chen, Ye-Hwa

Correspondence Author:lgf

Date of Publication:2018-02-01