Comparing digital implementation via the bilinear and step-invariant transformations

Guofeng Zhang; Tongwen Chen

doi:10.1016/j.automatica.2003.08.010

Comparing digital implementation via the bilinear and step-invariant transformations

Guofeng Zhang
, Tongwen Chen

Research output: Journal article publication › Journal article › Academic research › peer-review

5 Citations (Scopus)

Abstract

From an analog system K, digital systems Kdand Kbtare often obtained via the step-invariant and bilinear transformations, respectively. For the case when K is stable, it is shown that under certain conditions, Kbtconverges to Kdin ℓp-induced norms as the sampling period tends to zero for 1≤p≤∞. Furthermore, Kbtconverges to Kdin the graph metric as the sampling period tends to zero no matter whether K is stable or not.

Original language	English
Pages (from-to)	327-330
Number of pages	4
Journal	Automatica
Volume	40
Issue number	2
DOIs	https://doi.org/10.1016/j.automatica.2003.08.010
Publication status	Published - 1 Feb 2004
Externally published	Yes

Keywords

ℓ -Induced norms p
Bilineartransformation
Graph metric
Sampled-data systems
Step-invariant transformation

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

More information

10.1016/j.automatica.2003.08.010

Cite this

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abstract = "From an analog system K, digital systems Kdand Kbtare often obtained via the step-invariant and bilinear transformations, respectively. For the case when K is stable, it is shown that under certain conditions, Kbtconverges to Kdin ℓp-induced norms as the sampling period tends to zero for 1≤p≤∞. Furthermore, Kbtconverges to Kdin the graph metric as the sampling period tends to zero no matter whether K is stable or not.",

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AB - From an analog system K, digital systems Kdand Kbtare often obtained via the step-invariant and bilinear transformations, respectively. For the case when K is stable, it is shown that under certain conditions, Kbtconverges to Kdin ℓp-induced norms as the sampling period tends to zero for 1≤p≤∞. Furthermore, Kbtconverges to Kdin the graph metric as the sampling period tends to zero no matter whether K is stable or not.

KW - ℓ -Induced norms p

KW - Bilineartransformation

KW - Graph metric

KW - Sampled-data systems

KW - Step-invariant transformation

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DO - 10.1016/j.automatica.2003.08.010

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JO - Automatica

JF - Automatica

IS - 2

ER -

Comparing digital implementation via the bilinear and step-invariant transformations

Abstract

Keywords

ASJC Scopus subject areas

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