A new LMI criterion for the realization of limit cycle-free direct form digital filters with saturation arithmetic

Choon Ki Ahn

A new LMI criterion for the realization of limit cycle-free direct form digital filters with saturation arithmetic

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we propose a new criterion in the form of linear matrix in-equality (LMI) for the elimination of limit cycles in direct form digital filters with saturation arithmetic and external interference. The proposed criterion not only guarantees asymptotic stability, but also reduces the effect of external interference to an l ₂ - l _∞ induced norm constraint. The criterion can be checked readily by using some standard numerical packages. An illustrative example is given to demonstrate the effectiveness of the proposed criterion.

Original language	English
Pages (from-to)	1453-1461
Number of pages	9
Journal	International Journal of Innovative Computing, Information and Control
Volume	8
Issue number	2
Publication status	Published - 2012 Feb
Externally published	Yes

Keywords

Asymptotic stability
Digital filters
Finite wordlength effects
Linear matrix inequality (LMI)
l - l approach

ASJC Scopus subject areas

Software
Theoretical Computer Science
Information Systems
Computational Theory and Mathematics

Cite this

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abstract = "In this paper, we propose a new criterion in the form of linear matrix in-equality (LMI) for the elimination of limit cycles in direct form digital filters with saturation arithmetic and external interference. The proposed criterion not only guarantees asymptotic stability, but also reduces the effect of external interference to an l 2 - l ∞ induced norm constraint. The criterion can be checked readily by using some standard numerical packages. An illustrative example is given to demonstrate the effectiveness of the proposed criterion.",

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AB - In this paper, we propose a new criterion in the form of linear matrix in-equality (LMI) for the elimination of limit cycles in direct form digital filters with saturation arithmetic and external interference. The proposed criterion not only guarantees asymptotic stability, but also reduces the effect of external interference to an l 2 - l ∞ induced norm constraint. The criterion can be checked readily by using some standard numerical packages. An illustrative example is given to demonstrate the effectiveness of the proposed criterion.

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KW - Finite wordlength effects

KW - Linear matrix inequality (LMI)

KW - l - l approach

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A new LMI criterion for the realization of limit cycle-free direct form digital filters with saturation arithmetic

Abstract

Keywords

ASJC Scopus subject areas

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