Optimal H filtering for discrete-time-delayed chaotic systems via a unified model

  • Meiqin Liu
  • , Senlin Zhang
  • , Xiaofang Tang
  • , Zhen Fan
  • , Shiyou Zheng

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

1 Scopus citations

Abstract

This paper presents a unified model, consisting of a linear dynamic system and a bounded static nonlinear operator. Most discrete-time chaotic systems, such as chaotic neural networks, Chua's circuits, and Hénon map etc, can be transformed into this unified model. Based on the H performance analysis of the estimation error system between the unified model and its improved Luenberger-like filter using the linear matrix inequality (LMI) approach, the optimal H filter are designed to estimate the states of discrete-time chaotic systems with external disturbance. The H filter not only guarantees the asymptotic stability of the estimation error system, but also reduces the influence of noise on the estimation error. Two numerical examples are exploited to illustrate the effectiveness of the proposed filter design schemes.

Original languageEnglish
Title of host publication15th International Conference on Information Fusion, FUSION 2012
Pages2553-2560
Number of pages8
StatePublished - 2012
Externally publishedYes
Event15th International Conference on Information Fusion, FUSION 2012 - Singapore, Singapore
Duration: 7 Sep 201212 Sep 2012

Publication series

Name15th International Conference on Information Fusion, FUSION 2012

Conference

Conference15th International Conference on Information Fusion, FUSION 2012
Country/TerritorySingapore
CitySingapore
Period7/09/1212/09/12

Keywords

  • H filtering
  • discrete-time chaotic systems
  • estimation error
  • neural networks
  • time delay

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