Global output-feedback stabilization for a class of stochastic non-minimum-phase nonlinear systems

Shu Jun Liu, Zhong Ping Jiang, Ji Feng Zhang

Research output: Contribution to journalArticlepeer-review


In this paper, the problem of output-feedback stabilization is investigated for the first time for a class of stochastic nonlinear systems whose zero dynamics may be unstable. Under the assumption that the inverse dynamics of the system is stochastic input-to-state stabilizable, a stabilizing output-feedback controller is constructively designed by the integrator backstepping method together with a new reduced-order observer design and the technique of changing supply functions. It is shown that, under small-gain type conditions for small signals, the resulting closed-loop system is globally asymptotically stable in probability. The obtained results extend the existing methodology from deterministic systems to stochastic systems. An example is given to demonstrate the main features and effectiveness of the proposed output-feedback control scheme.

Original languageEnglish (US)
Pages (from-to)1944-1957
Number of pages14
Issue number8
StatePublished - Aug 2008


  • Integrator backstepping
  • Non-minimum phase
  • Output-feedback stabilization
  • Stochastic input-to-state stability
  • Stochastic nonlinear systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering


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