A Tool for the Global Stabilization of Stochastic Nonlinear Systems

Tao Bian; Zhong Ping Jiang

doi:10.1109/TAC.2016.2589547

A Tool for the Global Stabilization of Stochastic Nonlinear Systems

Tao Bian, Zhong Ping Jiang

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Article number	7508405
Pages (from-to)	1946-1951
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	62
Issue number	4
DOIs	https://doi.org/10.1109/TAC.2016.2589547
State	Published - Apr 2017

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

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10.1109/TAC.2016.2589547

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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 Jiang, {Zhong Ping}",

note = "Funding Information: This work was supported in part by the National Science Foundation under Grant ECCS-1101401, Grant ECCS-1230040, and Grant ECCS-1501044. Recommended by Associate Editor C. Moog. Publisher Copyright: {\textcopyright} 1963-2012 IEEE.",

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N1 - Funding Information: This work was supported in part by the National Science Foundation under Grant ECCS-1101401, Grant ECCS-1230040, and Grant ECCS-1501044. Recommended by Associate Editor C. Moog. Publisher Copyright: © 1963-2012 IEEE.

PY - 2017/4

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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.

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KW - stabilization

KW - stochastic input-to-state stability

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A Tool for the Global Stabilization of Stochastic Nonlinear Systems

Abstract

Keywords

ASJC Scopus subject areas

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