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

Vahid Aeinfar; Javad Askari; Arash Sadeghzadeh

doi:10.1002/asjc.1868

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 journal › Article › Academic › peer-review

4 Citations (Scopus)

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 language	English
Pages (from-to)	278-287
Number of pages	10
Journal	Asian Journal of Control
Volume	22
Issue number	1
DOIs	https://doi.org/10.1002/asjc.1868
Publication status	Published - 1 Jan 2020
Externally published	Yes

Keywords

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

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10.1002/asjc.1868

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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.",

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AB - 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.

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KW - linear fractional transformation (LFT) representation

KW - linear matrix inequality (LMI)

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KW - Robust filtering

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

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Keywords

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