H<inf>∞</inf> filtering for a class of nonlinear systems

Yingnan Pan, Xingjian Sun, H. K. Lam, Yabin Gao, Hongyi Li

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

Abstract

This paper investigates the problem of H<inf>∞</inf> filter design for a class of nonlinear systems. Attention is focused on solving the H<inf>∞</inf> fuzzy filter designed problem for interval type-2 (IT2) fuzzy systems. By using Lyapunov stability theory, an IT2 filter is designed such that the filtering error system is asymptotically stable with the prescribed H<inf>∞</inf> performance levels. The existence condition of the IT2 filter is expressed as the convex optimization problem and the filter parameters in the condition can be solved by the standard software. It is not requited that the IT2 fuzzy model and IT2 fuzzy filter share the same lower and upper membership functions. Finally, a numerical example is provided to show the effectiveness of the proposed results.

Original languageEnglish
Title of host publicationProceedings of the World Congress on Intelligent Control and Automation (WCICA)
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages238-241
Number of pages4
Volume2015-March
EditionMarch
DOIs
Publication statusPublished - 2 Mar 2015
Event2014 11th World Congress on Intelligent Control and Automation, WCICA 2014 - Shenyang, China
Duration: 29 Jun 20144 Jul 2014

Conference

Conference2014 11th World Congress on Intelligent Control and Automation, WCICA 2014
Country/TerritoryChina
CityShenyang
Period29/06/20144/07/2014

Keywords

  • Filter design
  • H<inf>∞</inf> performance
  • Interval type-2 fuzzy systems
  • Stability

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