H state estimation for a unified chaotic system with uncertainty

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The unified chaotic system incorporates the behaviors of the Lorenz, the Chen and the Lü chaotic systems. In this paper, the H state estimation problem is investigated for a unified chaotic system with uncertainty (noise perturbation). The unified chaotic system is first transformed into a Lur'e system. Based on the H performance analysis for the Lur'e system, an improved Luenberger-like estimator (or filter) is designed to estimate its states through available output measurements such that the exponential stability of the estimation error dynamic systems is guarantee and the influence of noise on the estimation error is limited within a lowest level. The parameters of the estimator (or filter) are obtained by solving the eigenvalue problem (EVP). A numerical example is provided to show the usefulness of the proposed estimation method.

Original languageEnglish
Title of host publicationProceedings of the 31st Chinese Control Conference, CCC 2012
Pages957-962
Number of pages6
StatePublished - 2012
Externally publishedYes
Event31st Chinese Control Conference, CCC 2012 - Hefei, China
Duration: 25 Jul 201227 Jul 2012

Publication series

NameChinese Control Conference, CCC
ISSN (Print)1934-1768
ISSN (Electronic)2161-2927

Conference

Conference31st Chinese Control Conference, CCC 2012
Country/TerritoryChina
CityHefei
Period25/07/1227/07/12

Keywords

  • H filter
  • exponentially stability
  • state estimation
  • unified chaotic system

Fingerprint

Dive into the research topics of 'H state estimation for a unified chaotic system with uncertainty'. Together they form a unique fingerprint.

Cite this