Skip to main content
Top

2017 | OriginalPaper | Chapter

3. Active Vibration Control Systems—Model Representation

Authors : Ioan Doré Landau, Tudor-Bogdan Airimitoaie, Abraham Castellanos-Silva, Aurelian Constantinescu

Published in: Adaptive and Robust Active Vibration Control

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this chapter the elements and the basic concepts of computer-controlled systems will be presented. The discretization and choice of sampling frequency will be first examined, followed by a brief review of discrete-time models.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Footnotes
1
Modern control design techniques use “model based control design”.
 
2
Numerous examples show that by using this approach, the sampling frequency can be reduced with respect to the previous approach.
 
3
Temporarily in this section t designates the continuous time and k the normalized sampling time (\(k= \frac{time}{T_s}\)). Starting from Sect. 3.1.3 the normalized discrete time will be denoted by t.
 
4
ZOH keeps constant the signal delivered by the D/A converter between two sampling instants.
 
5
In many cases, the argument \(q^{-1}\) will be dropped out, to simplify the notations.
 
6
The order of the system will be in general estimated from input/output data.
 
Literature
1.
go back to reference Preumont A (2011) Vibration control of active structures – an introduction. Springer, New YorkCrossRefMATH Preumont A (2011) Vibration control of active structures – an introduction. Springer, New YorkCrossRefMATH
2.
go back to reference Fuller C, Elliott S, Nelson P (1997) Active control of vibration. Academic Press, New YorkCrossRef Fuller C, Elliott S, Nelson P (1997) Active control of vibration. Academic Press, New YorkCrossRef
3.
go back to reference Landau I, Zito G (2005) Digital control systems - design, identification and implementation. Springer, London Landau I, Zito G (2005) Digital control systems - design, identification and implementation. Springer, London
4.
go back to reference Landau I (1993) Identification et commande des systèmes, 2nd edn. Série Automatique. Hermès, Paris Landau I (1993) Identification et commande des systèmes, 2nd edn. Série Automatique. Hermès, Paris
6.
go back to reference Franklin GF, Powell JD, Workman ML (1998) Digital control of dynamic systems, vol 3. Addison-Wesley, Menlo ParkMATH Franklin GF, Powell JD, Workman ML (1998) Digital control of dynamic systems, vol 3. Addison-Wesley, Menlo ParkMATH
7.
go back to reference Ogata K (1987) Discrete-time control systems, 1st edn. Prentice Hall, New Jersey Ogata K (1987) Discrete-time control systems, 1st edn. Prentice Hall, New Jersey
Metadata
Title
Active Vibration Control Systems—Model Representation
Authors
Ioan Doré Landau
Tudor-Bogdan Airimitoaie
Abraham Castellanos-Silva
Aurelian Constantinescu
Copyright Year
2017
DOI
https://doi.org/10.1007/978-3-319-41450-8_3