A Tool for the Global Stabilization of Stochastic Nonlinear Systems

Research output: Contribution to journalArticle

Abstract

This technical note investigates the robust global stabilization problem for nonlinear systems subject to dynamic and stochastic disturbance, from the perspective of stochastic input-to-state stability. A new stochastic gain assignment method is developed. This method can be combined with the nonlinear small-gain theorem to design partial-state feedback controllers for stochastic nonlinear systems. A numerical example is given to illustrate the effectiveness of the proposed method.

Original languageEnglish (US)
Article number7508405
Pages (from-to)1946-1951
Number of pages6
JournalIEEE Transactions on Automatic Control
Volume62
Issue number4
DOIs
StatePublished - Apr 1 2017

Fingerprint

Nonlinear systems
Stabilization
State feedback
Controllers

Keywords

  • Gain assignment
  • stabilization
  • stochastic input-to-state stability
  • stochastic nonlinear systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

Cite this

A Tool for the Global Stabilization of Stochastic Nonlinear Systems. / Bian, Tao; Jiang, Zhong-Ping.

In: IEEE Transactions on Automatic Control, Vol. 62, No. 4, 7508405, 01.04.2017, p. 1946-1951.

Research output: Contribution to journalArticle

@article{9f4ae48ee6e1441cb03ea8161a6cc0e5,
title = "A Tool for the Global Stabilization of Stochastic Nonlinear Systems",
abstract = "This technical note investigates the robust global stabilization problem for nonlinear systems subject to dynamic and stochastic disturbance, from the perspective of stochastic input-to-state stability. A new stochastic gain assignment method is developed. This method can be combined with the nonlinear small-gain theorem to design partial-state feedback controllers for stochastic nonlinear systems. A numerical example is given to illustrate the effectiveness of the proposed method.",
keywords = "Gain assignment, stabilization, stochastic input-to-state stability, stochastic nonlinear systems",
author = "Tao Bian and Zhong-Ping Jiang",
year = "2017",
month = "4",
day = "1",
doi = "10.1109/TAC.2016.2589547",
language = "English (US)",
volume = "62",
pages = "1946--1951",
journal = "IEEE Transactions on Automatic Control",
issn = "0018-9286",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "4",

}

TY - JOUR

T1 - A Tool for the Global Stabilization of Stochastic Nonlinear Systems

AU - Bian, Tao

AU - Jiang, Zhong-Ping

PY - 2017/4/1

Y1 - 2017/4/1

N2 - This technical note investigates the robust global stabilization problem for nonlinear systems subject to dynamic and stochastic disturbance, from the perspective of stochastic input-to-state stability. A new stochastic gain assignment method is developed. This method can be combined with the nonlinear small-gain theorem to design partial-state feedback controllers for stochastic nonlinear systems. A numerical example is given to illustrate the effectiveness of the proposed method.

AB - This technical note investigates the robust global stabilization problem for nonlinear systems subject to dynamic and stochastic disturbance, from the perspective of stochastic input-to-state stability. A new stochastic gain assignment method is developed. This method can be combined with the nonlinear small-gain theorem to design partial-state feedback controllers for stochastic nonlinear systems. A numerical example is given to illustrate the effectiveness of the proposed method.

KW - Gain assignment

KW - stabilization

KW - stochastic input-to-state stability

KW - stochastic nonlinear systems

UR - http://www.scopus.com/inward/record.url?scp=85018514434&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85018514434&partnerID=8YFLogxK

U2 - 10.1109/TAC.2016.2589547

DO - 10.1109/TAC.2016.2589547

M3 - Article

VL - 62

SP - 1946

EP - 1951

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

SN - 0018-9286

IS - 4

M1 - 7508405

ER -