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2017 | OriginalPaper | Chapter

11. Robust Controller Design for Feedback Attenuation of Narrow-Band Disturbances

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

Published in: Adaptive and Robust Active Vibration Control

Publisher: Springer International Publishing

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Abstract

This chapter deals with the design of robust linear feedback controllers for attenuation of narrow-band disturbances. The design is based on the shaping of the output sensitivity function using the band-stop filters presented in Chap. 7. Two scenarios are considered. The first one concerns the attenuation of disturbances with time-varying frequencies within a limited frequency range around a central frequency. The second scenario considers the attenuation of vibrational interference caused by several tonal disturbances located very close to each other in the frequency domain. The proposed solutions are validated on an active vibration control system.

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Footnotes
1
See also Sect. 7.​4.
 
2
The complex variable \(z^{-1}\) will be used to characterize the system’s behaviour in the frequency domain and the delay operator \(q^{-1}\) will be used for the time domain analysis.
 
3
The disturbance passes through a so-called primary path and p(t) is its output.
 
4
The argument \((z^{-1})\) will be omitted in some of the following equations to make them more compact.
 
5
The software iREG has been used for the design of this robust digital controller but the same results can be obtained using functions written in MATLAB/Scilab languages (see http://​www.​gipsa-lab.​grenoble-inp.​fr/​~ioandore.​landau/​identificationan​dcontrol/​).
 
Literature
1.
go back to reference Li S, Li J, Mo Y (2014) Piezoelectric multimode vibration control for stiffened plate using ADRC-based acceleration compensation. IEEE Trans Ind Electron 61(12):6892–6902CrossRef Li S, Li J, Mo Y (2014) Piezoelectric multimode vibration control for stiffened plate using ADRC-based acceleration compensation. IEEE Trans Ind Electron 61(12):6892–6902CrossRef
4.
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
5.
go back to reference van Wingerden J, Hulskamp A, Barlas T, Houtzager I, Bersee H, van Kuik G, Verhaegen M (2011) Two-degree-of-freedom active vibration control of a prototyped “smart” rotor. IEEE Trans Control Syst Technol 19(2):284–296. doi:10.1109/TCST.2010.2051810 CrossRef van Wingerden J, Hulskamp A, Barlas T, Houtzager I, Bersee H, van Kuik G, Verhaegen M (2011) Two-degree-of-freedom active vibration control of a prototyped “smart” rotor. IEEE Trans Control Syst Technol 19(2):284–296. doi:10.​1109/​TCST.​2010.​2051810 CrossRef
6.
go back to reference Zhang K, Scorletti G, Ichchou MN, Mieyeville F (2014) Robust active vibration control of piezoelectric flexible structures using deterministic and probabilistic analysis. J Intell Mater Syst Struct 25(6):665–679. doi:10.1177/1045389X13500574 CrossRef Zhang K, Scorletti G, Ichchou MN, Mieyeville F (2014) Robust active vibration control of piezoelectric flexible structures using deterministic and probabilistic analysis. J Intell Mater Syst Struct 25(6):665–679. doi:10.​1177/​1045389X13500574​ CrossRef
7.
go back to reference Zhang K, Scorletti G, Ichchou M, Mieyeville F (2015) Quantitative robust linear parameter varying H\(_\infty \) vibration control of flexible structures for saving the control energy. J Intell Mater Syst Struct 26(8):1006–1027. doi:10.1177/1045389X14538529 CrossRef Zhang K, Scorletti G, Ichchou M, Mieyeville F (2015) Quantitative robust linear parameter varying H\(_\infty \) vibration control of flexible structures for saving the control energy. J Intell Mater Syst Struct 26(8):1006–1027. doi:10.​1177/​1045389X14538529​ CrossRef
8.
go back to reference Assadian F (2002) A comparative study of optimal linear controllers for vibration suppression. J Frankl Inst 339(3):347–360. The 2001 Franklin Institute Awards Assadian F (2002) A comparative study of optimal linear controllers for vibration suppression. J Frankl Inst 339(3):347–360. The 2001 Franklin Institute Awards
9.
go back to reference Kumar R (2012) Enhanced active constrained layer damping (ACLD) treatment using stand-offlayer: robust controllers design, experimental implementation and comparison. J Vib Control. doi:10.1177/1077546311429148 Kumar R (2012) Enhanced active constrained layer damping (ACLD) treatment using stand-offlayer: robust controllers design, experimental implementation and comparison. J Vib Control. doi:10.​1177/​1077546311429148​
13.
go back to reference Marcos T (2000) The straight attraction. Motion Control 13:29–33 Marcos T (2000) The straight attraction. Motion Control 13:29–33
14.
go back to reference Moheimani SR, Fleming AJ (2006) Piezoelectric transducers for vibration control and damping. Springer, LondonMATH Moheimani SR, Fleming AJ (2006) Piezoelectric transducers for vibration control and damping. Springer, LondonMATH
Metadata
Title
Robust Controller Design for Feedback Attenuation of Narrow-Band Disturbances
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_11