New results in global stabilization for stochastic nonlinear systems

Research output: Contribution to journalArticlepeer-review

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

Keywords

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

ASJC Scopus subject areas

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

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