Finite-time stabilization of nonlinear systems with parametric and dynamic uncertainties

Yiguang Hong, Zhong-Ping Jiang

Research output: Contribution to journalArticle

Abstract

In this note, non-smooth finite-time stabilization of nonlinear systems with parametric and dynamic uncertainties is investigated. To solve this problem, the input-to-state stability property is used to characterize unmeasured dynamic uncertainties. A constructive partial-state control design is proposed on the basis of involved combined use of Lyapunov, backstepping and input-to-state stability techniques. Under small-gain type local conditions, a solution for the finite-time regulation of a class of uncertain nonlinear systems is obtained.

Original languageEnglish (US)
Pages (from-to)1950-1956
Number of pages7
JournalIEEE Transactions on Automatic Control
Volume51
Issue number12
DOIs
StatePublished - Dec 2006

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Nonlinear systems
Stabilization
Backstepping
Uncertainty

Keywords

  • Dynamic uncertainties
  • Finite-time convergence
  • Input-to-state stability (ISS)
  • Nonsmooth feedback
  • Parametric uncertainties

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Finite-time stabilization of nonlinear systems with parametric and dynamic uncertainties. / Hong, Yiguang; Jiang, Zhong-Ping.

In: IEEE Transactions on Automatic Control, Vol. 51, No. 12, 12.2006, p. 1950-1956.

Research output: Contribution to journalArticle

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