Non-uniform sampling strategies for digital control

Samir Khan, Roger M. Goodall, Roger Dixon

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Most conventional control algorithms cause numerical problems where data is collected at sampling rates that are substantially higher than the dynamics of the equivalent continuous-time operation that is being implemented. This is of relevant interest in applications of digital control, in which high sample rates are routinely dictated by the system stability requirements rather than the signal processing needs. Digital control systems exhibit bandwidth limitations enforced by their closed-loop frequency requirements that demand very high sample rates. Considerable recent progress in reducing sample frequency requirements has been made through the use of non-uniform sampling schemes, so called alias-free signal processing. The approach prompts the simplification of complex systems and consequently enhances the numerical conditioning of the implementation algorithms that otherwise would require very high uniform sample rates. However, the control communities have not yet investigated the use of intentional non-uniform sampling. The purpose of this article is to address some algorithmic issues when using such regimes for digital control.

Original languageEnglish
Pages (from-to)2234-2254
Number of pages21
JournalInternational Journal of Systems Science
Volume44
Issue number12
Early online date22 Jun 2012
DOIs
Publication statusPublished - 1 Dec 2013
Externally publishedYes

Fingerprint

Nonuniform Sampling
Sampling Strategy
Digital Control
Sampling
Signal processing
Signal Processing
Digital control systems
Requirements
System stability
Large scale systems
Conditioning
Simplification
Closed-loop
Control Algorithm
Bandwidth
Continuous Time
Complex Systems
Control System

Cite this

Khan, Samir ; Goodall, Roger M. ; Dixon, Roger. / Non-uniform sampling strategies for digital control. In: International Journal of Systems Science. 2013 ; Vol. 44, No. 12. pp. 2234-2254.
@article{24972fa807964795899f6628144df76f,
title = "Non-uniform sampling strategies for digital control",
abstract = "Most conventional control algorithms cause numerical problems where data is collected at sampling rates that are substantially higher than the dynamics of the equivalent continuous-time operation that is being implemented. This is of relevant interest in applications of digital control, in which high sample rates are routinely dictated by the system stability requirements rather than the signal processing needs. Digital control systems exhibit bandwidth limitations enforced by their closed-loop frequency requirements that demand very high sample rates. Considerable recent progress in reducing sample frequency requirements has been made through the use of non-uniform sampling schemes, so called alias-free signal processing. The approach prompts the simplification of complex systems and consequently enhances the numerical conditioning of the implementation algorithms that otherwise would require very high uniform sample rates. However, the control communities have not yet investigated the use of intentional non-uniform sampling. The purpose of this article is to address some algorithmic issues when using such regimes for digital control.",
keywords = "Delta operator, Digital control, Fourier analysis, Non-uniform sampling",
author = "Samir Khan and Goodall, {Roger M.} and Roger Dixon",
year = "2013",
month = "12",
day = "1",
doi = "10.1080/00207721.2012.687785",
language = "English",
volume = "44",
pages = "2234--2254",
journal = "International Journal of Systems Science",
issn = "0020-7721",
publisher = "Taylor and Francis Ltd.",
number = "12",

}

Non-uniform sampling strategies for digital control. / Khan, Samir; Goodall, Roger M.; Dixon, Roger.

In: International Journal of Systems Science, Vol. 44, No. 12, 01.12.2013, p. 2234-2254.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Non-uniform sampling strategies for digital control

AU - Khan, Samir

AU - Goodall, Roger M.

AU - Dixon, Roger

PY - 2013/12/1

Y1 - 2013/12/1

N2 - Most conventional control algorithms cause numerical problems where data is collected at sampling rates that are substantially higher than the dynamics of the equivalent continuous-time operation that is being implemented. This is of relevant interest in applications of digital control, in which high sample rates are routinely dictated by the system stability requirements rather than the signal processing needs. Digital control systems exhibit bandwidth limitations enforced by their closed-loop frequency requirements that demand very high sample rates. Considerable recent progress in reducing sample frequency requirements has been made through the use of non-uniform sampling schemes, so called alias-free signal processing. The approach prompts the simplification of complex systems and consequently enhances the numerical conditioning of the implementation algorithms that otherwise would require very high uniform sample rates. However, the control communities have not yet investigated the use of intentional non-uniform sampling. The purpose of this article is to address some algorithmic issues when using such regimes for digital control.

AB - Most conventional control algorithms cause numerical problems where data is collected at sampling rates that are substantially higher than the dynamics of the equivalent continuous-time operation that is being implemented. This is of relevant interest in applications of digital control, in which high sample rates are routinely dictated by the system stability requirements rather than the signal processing needs. Digital control systems exhibit bandwidth limitations enforced by their closed-loop frequency requirements that demand very high sample rates. Considerable recent progress in reducing sample frequency requirements has been made through the use of non-uniform sampling schemes, so called alias-free signal processing. The approach prompts the simplification of complex systems and consequently enhances the numerical conditioning of the implementation algorithms that otherwise would require very high uniform sample rates. However, the control communities have not yet investigated the use of intentional non-uniform sampling. The purpose of this article is to address some algorithmic issues when using such regimes for digital control.

KW - Delta operator

KW - Digital control

KW - Fourier analysis

KW - Non-uniform sampling

UR - http://www.scopus.com/inward/record.url?scp=84879179758&partnerID=8YFLogxK

U2 - 10.1080/00207721.2012.687785

DO - 10.1080/00207721.2012.687785

M3 - Article

VL - 44

SP - 2234

EP - 2254

JO - International Journal of Systems Science

JF - International Journal of Systems Science

SN - 0020-7721

IS - 12

ER -