New results in global stabilization for stochastic nonlinear systems

Research output: Contribution to journalArticle

Abstract

This paper presents new results on the robust global stabilization and the gain assignment problems for stochastic nonlinear systems. Three stochastic nonlinear control design schemes are developed. Furthermore, a new stochastic gain assignment method is developed for a class of uncertain interconnected stochastic nonlinear systems. This method can be combined with the nonlinear small-gain theorem to design partial-state feedback controllers for stochastic nonlinear systems. Two numerical examples are given to illustrate the effectiveness of the proposed methodology.

Original languageEnglish (US)
Pages (from-to)57-67
Number of pages11
JournalControl Theory and Technology
Volume14
Issue number1
DOIs
StatePublished - Feb 1 2016

Fingerprint

Nonlinear Stochastic Systems
Nonlinear systems
Stabilization
Small Gain Theorem
Stochastic Control
Nonlinear Control
Assignment Problem
State feedback
State Feedback
Control Design
Assignment
Controller
Partial
Numerical Examples
Controllers
Methodology

Keywords

  • gain assignment
  • small-gain
  • stabilization
  • stochastic input-to-output stability
  • Stochastic nonlinear systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Aerospace Engineering
  • Control and Optimization

Cite this

New results in global stabilization for stochastic nonlinear systems. / Bian, Tao; Jiang, Zhong-Ping.

In: Control Theory and Technology, Vol. 14, No. 1, 01.02.2016, p. 57-67.

Research output: Contribution to journalArticle

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