Robust H2 and H∞ filter design for continuous-time uncertain linear fractional transformation systems via LMI

Vahid Aeinfar, Javad Askari (Corresponding author), Arash Sadeghzadeh

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

This paper considers the problem of robust H2 and H filter design for uncertain continuous-time linear systems. Linear fractional transformation (LFT) representation is considered for the uncertainty modeling and by definition of large number of slack variables, extra free dimensions are provided to the H2 and H filter design optimization problem, so method presented in this paper expected to be less conservative than the existing methods for the polytopic uncertain systems and its efficiency for filter design is illustrated by means of numerical comparisons with some benchmark examples from the literature.

Original languageEnglish
Pages (from-to)278-287
Number of pages10
JournalAsian Journal of Control
Volume22
Issue number1
DOIs
Publication statusPublished - 1 Jan 2020
Externally publishedYes

Keywords

  • H and H performance
  • linear fractional transformation (LFT) representation
  • linear matrix inequality (LMI)
  • polytopic uncertainty
  • Robust filtering

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