Top

Published in:

2013 | OriginalPaper | Chapter

6. Interval Modeling and Robust Feedback Control of Piezoelectric-Based Microactuators

Authors : Sofiane Khadraoui, Micky Rakotondrabe, Philippe Lutz

Published in: Smart Materials-Based Actuators at the Micro/Nano-Scale

Publisher: Springer New York

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

search-config

AI-assisted search

Off

Abstract

This chapter presents the modeling and the control of piezoelectric-based microactuators. Typified by uncertainties of models, we propose to use intervals to bound the uncertain parameters. These uncertainties are particularly due to the difficulties to perform precise identification and to the high sensivity of the systems at the micro/nanoscale. In order to account the models uncertainties, we propose therefore to combine interval tools and classical control theory to derive robust controllers. Experimental results confirm the predicted theory and demonstrate the efficiency of the proposed method.

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!

inform now

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!

inform now

previous chapter A Hybrid Control Approach to Nanopositioning

next chapter Kalman Filtering and State-Feedback Control of a Nonlinear Piezoelectric Cantilevered Actuator

S.-J. An, L. Huang, E. Wang, On the parametric H _∞ problems of weighted interval plants, IEEE Trans. Automat. Contr. 45, 332–335 (2000)MathSciNetMATHCrossRef

S.-J. An, X. Hu, B. Vucetic, W. Liu, Vertex results for parametric shifted H _∞ performance of weighted interval plants. IEEE Conf. Decis. Contr. 5, 4195–4196 (2000)

G.J. Balas, J.C. Doyle, K. Glover, A. Packard, R. Smith, \(\mu\) -synthesis and synthesis toolbox for use with Matlab. The Mathworks (2001)

L. Iorga, H. Baruh, I. Ursu, A review of H _∞ robust control of piezoelectric smart structures. Appl. Mech. Rev. 61(4), 04082-1–04082-15 (2008)

L. Jaulin, E. Walter, Set inversion via interval analysis for nonlinear bounded-error estimation. Automatica. 29(4), 1053–1064 (1993)MathSciNetMATHCrossRef

L. Jaulin, M. Kieffer, O. Didrit, E. Walter, Applied Interval Analysis (Springer, London, 2001)MATHCrossRef

S. Khadraoui, Calcul par intervalles et outils de l’automatique permettant la micromanipulation prcision qualifie pour le microassemblage, Thse de Doctorat, Universit de Franche-Comt Besanon, 2012

S. Khadraoui, M. Rakotondrabe, P. Lutz, PID-structured controller design for interval systems: application to piezoelectric microactuators, in American Control Conference (ACC), San Francisco, CA, USA, 2011, pp. 3477–3482

S. Khadraoui, M. Rakotondrabe, P. Lutz, Combining H _∞ and interval techniques to design robust low order controllers: application to piezoelectric actuators, in American Control Conference (ACC), Montral, Canada, 2012

10.

S. Khadraoui, M. Rakotondrabe, P. Lutz, Combining H _∞ approach and interval tools to design a low order and robust controller for systems with parametric uncertainties: application to piezoelectric actuators. Int. J. Contr. 85(3), 251–259 (2012)MathSciNetCrossRef

11.

S. Khadraoui, M. Rakotondrabe, P. Lutz, Interval modeling and robust control of piezoelectric microactuators. IEEE Trans. Contr. Syst. Technol. 20(2),486–494 (2012)CrossRef

12.

R.E. Moore, Interval Analysis (Prentice-Hall, Englewood Cliffs, 1966)MATH

13.

M. Rakotondrabe, Performances inclusion for stable interval systems, in American Control Conference (ACC), San Francisco, CA, USA, June–July 2011, pp. 4367–4372

14.

M. Rakotondrabe, C. Clevy, P. Lutz, Modelling and robust position/force control of a piezoelectric microgripper, in IEEE - International Conference on Automation Science and Engineering (CASE), Scottsdale, AZ, USA, 2007, pp. 39–44

15.

M. Rakotondrabe, Y. Haddab, P. Lutz, Quadrilateral modelling and robust control of a nonlinear piezoelectric cantilever. IEEE Trans. Contr. Syst. Technol. 17(3), 528–539 (2009)CrossRef

16.

A. Sebastian, A. Pantazi, S.O.R. Moheimani, H. Pozidis, E. Eleftheriou, Achieving subnanometer precision in a MEMS-based storage device during self-servo write process. IEEE Trans. Nanotechnol. 7(5), 586–595 (2008)CrossRef

17.

L. Wang, H _∞ performance of interval systems. eprint arXiv:math/0211013 1, 1–8 (2002)

18.

K. Zhou, J. Doyle, K. Glover, Robust and Optimal Control (Prentice-Hall, Englewood Cliffs, New Jersey 07632, Upper Saddle River, 1996)

Title: Interval Modeling and Robust Feedback Control of Piezoelectric-Based Microactuators
Authors: Sofiane Khadraoui
Micky Rakotondrabe
Philippe Lutz
Publisher: Springer New York
Book: Smart Materials-Based Actuators at the Micro/Nano-Scale
Print ISBN: 978-1-4614-6683-3

Electronic ISBN: 978-1-4614-6684-0

Copyright Year: 2013
DOI: https://doi.org/10.1007/978-1-4614-6684-0_6