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Finite-precision implementation issues in narrowband active control

Maggio, Martina LU ; Leva, Alberto and Piroddi, Luigi (2007) 46th IEEE Conference on Decision and Control 2007, CDC In Proceedings of the IEEE Conference on Decision and Control p.1076-1081
Abstract

The domain of active control of narrowband disturbances, of either vibrational or acoustic noise source, poses several methodological and implementational issues. Besides all the problems that normally arise in digital control, some specific issues are related to the attenuation of harmonic or quasi-harmonic signals, which require the usage of control blocks approaching, or even touching, the stability limit, such as notch filters or dynamic oscillators. The finite-precision implementation of these blocks can evidence several problems related to nonlinear effects such as signal quantization, numerical representation, and approximate computation. This paper focuses on the effects related to finite-precision computations and floating... (More)

The domain of active control of narrowband disturbances, of either vibrational or acoustic noise source, poses several methodological and implementational issues. Besides all the problems that normally arise in digital control, some specific issues are related to the attenuation of harmonic or quasi-harmonic signals, which require the usage of control blocks approaching, or even touching, the stability limit, such as notch filters or dynamic oscillators. The finite-precision implementation of these blocks can evidence several problems related to nonlinear effects such as signal quantization, numerical representation, and approximate computation. This paper focuses on the effects related to finite-precision computations and floating point numerical representation, and, after a brief literature review, shows the necessity of extending conventional methodologies for the analysis of finite-precision controller implementation. Some illustrative examples are also provided to illustrate the implementation problems discussed.

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Please use this url to cite or link to this publication:
author
; and
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
series title
Proceedings of the IEEE Conference on Decision and Control
article number
4434718
pages
6 pages
conference name
46th IEEE Conference on Decision and Control 2007, CDC
conference location
New Orleans, LA, United States
conference dates
2007-12-12 - 2007-12-14
external identifiers
  • scopus:62749111371
ISSN
0191-2216
ISBN
1424414989
9781424414987
DOI
10.1109/CDC.2007.4434718
project
Cloud Control
language
English
LU publication?
no
additional info
Copyright: Copyright 2009 Elsevier B.V., All rights reserved.
id
c2e5f645-be4c-44ed-b9ab-7152c8d3a0c5
date added to LUP
2021-03-22 11:16:17
date last changed
2022-02-01 20:52:53
@inproceedings{c2e5f645-be4c-44ed-b9ab-7152c8d3a0c5,
  abstract     = {{<p>The domain of active control of narrowband disturbances, of either vibrational or acoustic noise source, poses several methodological and implementational issues. Besides all the problems that normally arise in digital control, some specific issues are related to the attenuation of harmonic or quasi-harmonic signals, which require the usage of control blocks approaching, or even touching, the stability limit, such as notch filters or dynamic oscillators. The finite-precision implementation of these blocks can evidence several problems related to nonlinear effects such as signal quantization, numerical representation, and approximate computation. This paper focuses on the effects related to finite-precision computations and floating point numerical representation, and, after a brief literature review, shows the necessity of extending conventional methodologies for the analysis of finite-precision controller implementation. Some illustrative examples are also provided to illustrate the implementation problems discussed.</p>}},
  author       = {{Maggio, Martina and Leva, Alberto and Piroddi, Luigi}},
  booktitle    = {{Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC}},
  isbn         = {{1424414989}},
  issn         = {{0191-2216}},
  language     = {{eng}},
  pages        = {{1076--1081}},
  series       = {{Proceedings of the IEEE Conference on Decision and Control}},
  title        = {{Finite-precision implementation issues in narrowband active control}},
  url          = {{http://dx.doi.org/10.1109/CDC.2007.4434718}},
  doi          = {{10.1109/CDC.2007.4434718}},
  year         = {{2007}},
}