H filtering for switched non-linear systems with polytopic uncertainties via filter state impulsive jump approach

Weiming Xiang, Jian Xiao

Research output: Contribution to journalArticle

Abstract

The H∞ filtering problem of switched non-linear systems with polytopic uncertainties is addressed in this paper. A novel filter with state impulsive jump is proposed to ensure the stability of error system and guarantee a prescribed noise attenuation level in the H∞ sense by solving linear matrix inequalities (LMIs) and determining an impulsive jump relation for filter state at switching instant. The LMIs are derived via a Lyapunov function approach and the impulsive jump relation is deduced by both Lyapunov functions and the switching surface. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.

Original languageEnglish (US)
Pages (from-to)540-550
Number of pages11
JournalTransactions of the Institute of Measurement and Control
Volume35
Issue number4
DOIs
StatePublished - Jun 1 2013
Externally publishedYes

Fingerprint

Liapunov functions
Lyapunov functions
nonlinear systems
Linear matrix inequalities
Nonlinear systems
filters
noise reduction
Uncertainty

Keywords

  • H∞ filtering
  • impulsive jump
  • polytopic uncertainties
  • switched systems

ASJC Scopus subject areas

  • Instrumentation

Cite this

H filtering for switched non-linear systems with polytopic uncertainties via filter state impulsive jump approach. / Xiang, Weiming; Xiao, Jian.

In: Transactions of the Institute of Measurement and Control, Vol. 35, No. 4, 01.06.2013, p. 540-550.

Research output: Contribution to journalArticle

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