Skip to main content

2013 | OriginalPaper | Buchkapitel

3. Design of Piezoelectric Actuators with Guaranteed Performances Using the Performances Inclusion Theorem

verfasst von : Micky Rakotondrabe, Sofiane Khadraoui

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

Verlag: Springer New York

Aktivieren Sie unsere intelligente Suche um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

This chapter presents the design of piezoelectric actuators by using the performances inclusion theorem (PIT). The main objective is to seek for the dimensions of a cantilevered actuator such that its performances will lie within some specifications imposed a priori. For that, these specifications are transcribed into an interval transfer function, called interval reference model, while an interval model of the actuator is also provided. Then, from the PIT, a problem of finding the dimensions is yielded such that this latter model is enclosed in the reference model. The problem is seen as a set-inversion problem that can be solved with interval tools such as the SIVIA (Set Inversion Via Interval Analysis) algorithms. The designed piezoelectric actuator is afterwards fabricated and characterized. The experimental characterizations demonstrate the efficiency of the proposed technique.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

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!

Literatur
1.
Zurück zum Zitat A. Bergander, W. Driesen, T. Varidel, M. Meizoso, J.M. Breguet, Mobile cm3-microrobots with tools for nanoscale imaging and micromanipulation, in Mechatronics & Robotics (MechRob 2004), Aachen, Germany, 13–15 Sept 2004, pp. 1041–1047 A. Bergander, W. Driesen, T. Varidel, M. Meizoso, J.M. Breguet, Mobile cm3-microrobots with tools for nanoscale imaging and micromanipulation, in Mechatronics & Robotics (MechRob 2004), Aachen, Germany, 13–15 Sept 2004, pp. 1041–1047
2.
Zurück zum Zitat S. Fatikow, T. Wich, H. Hulsen, T. Sievers, M. Jahnisch, Microrobot system for automatic nanohandling inside a scanning electron microscope. IEEE/ASME Trans. Mechatron. 12(3), 244–252 (2007)CrossRef S. Fatikow, T. Wich, H. Hulsen, T. Sievers, M. Jahnisch, Microrobot system for automatic nanohandling inside a scanning electron microscope. IEEE/ASME Trans. Mechatron. 12(3), 244–252 (2007)CrossRef
3.
Zurück zum Zitat M. Rakotondrabe, Y. Haddab, P. Lutz, Development, modeling, and control of a micro/ nanopositioning 2-DOF stick-slip device. IEEE/ASME Trans. Mechatron. 14(6), 733–745 (2009)CrossRef M. Rakotondrabe, Y. Haddab, P. Lutz, Development, modeling, and control of a micro/ nanopositioning 2-DOF stick-slip device. IEEE/ASME Trans. Mechatron. 14(6), 733–745 (2009)CrossRef
6.
Zurück zum Zitat R. Lee, H.L. Li, Development and characterization of a rotary motor driven by anisotropic piezoelectric composite laminate. Smart Mater. Struct. 7(3), 327–336 (1998)CrossRef R. Lee, H.L. Li, Development and characterization of a rotary motor driven by anisotropic piezoelectric composite laminate. Smart Mater. Struct. 7(3), 327–336 (1998)CrossRef
7.
Zurück zum Zitat S.H. Jun, S.M. Lee, S.H. Lee, H.E. Kim, K.W. Lee, Piezoelectric linear motor with unimorph structure by co-extrusion process. Sens. Act. A. 147(1), 300–303 (2008)CrossRef S.H. Jun, S.M. Lee, S.H. Lee, H.E. Kim, K.W. Lee, Piezoelectric linear motor with unimorph structure by co-extrusion process. Sens. Act. A. 147(1), 300–303 (2008)CrossRef
8.
Zurück zum Zitat G. Binnig, C.F. Quate, Ch. Gerber. Atomic force microscope. Phys. Rev. Lett. 56(9), 930 (1986)CrossRef G. Binnig, C.F. Quate, Ch. Gerber. Atomic force microscope. Phys. Rev. Lett. 56(9), 930 (1986)CrossRef
9.
Zurück zum Zitat R. Perez, J. Agnus, C. Clevy, A. Hubert, N. Chaillet, Modeling, fabrication and validation of a high performance 2-DOF piezoactuator for micromanipulation. IEEE/ASME Trans. Mechatron. 10(2), 161–171 (2005)CrossRef R. Perez, J. Agnus, C. Clevy, A. Hubert, N. Chaillet, Modeling, fabrication and validation of a high performance 2-DOF piezoactuator for micromanipulation. IEEE/ASME Trans. Mechatron. 10(2), 161–171 (2005)CrossRef
10.
Zurück zum Zitat M. Rakotondrabe, A. Ivan, Development and dynamic modeling of a new hybrid thermo-piezoelectric micro-actuator. IEEE Trans. Robot. 26(6), 1077–1085 (2010)CrossRef M. Rakotondrabe, A. Ivan, Development and dynamic modeling of a new hybrid thermo-piezoelectric micro-actuator. IEEE Trans. Robot. 26(6), 1077–1085 (2010)CrossRef
11.
Zurück zum Zitat M. Grossard, C. Rotinat-Libersa, N. Chaillet, M. Boukallel, Mechanical and control-oriented design of a monolithic piezoelectric microgripper using a new topological optimization method. IEEE/ASME Trans. Mechatron. 1(14), 32–45 (2009)CrossRef M. Grossard, C. Rotinat-Libersa, N. Chaillet, M. Boukallel, Mechanical and control-oriented design of a monolithic piezoelectric microgripper using a new topological optimization method. IEEE/ASME Trans. Mechatron. 1(14), 32–45 (2009)CrossRef
12.
Zurück zum Zitat M. Rakotondrabe, Performances inclusion for stable interval systems, in ACC (American Control Conference), San Francisco CA, USA, June–July 2011, pp. 4367–4372 M. Rakotondrabe, Performances inclusion for stable interval systems, in ACC (American Control Conference), San Francisco CA, USA, June–July 2011, pp. 4367–4372
13.
Zurück zum Zitat R.E. Moore, Interval Analysis (Prentice-Hall, Englewood Cliffs, 1966)MATH R.E. Moore, Interval Analysis (Prentice-Hall, Englewood Cliffs, 1966)MATH
14.
Zurück zum Zitat L. Jaulin, M. Kieffer, O. Didrit, E. Walter, Applied Interval Analysis (Springer, London, 2001)MATHCrossRef L. Jaulin, M. Kieffer, O. Didrit, E. Walter, Applied Interval Analysis (Springer, London, 2001)MATHCrossRef
15.
Zurück zum Zitat M. Rakotondrabe, Piezoelectric Cantilevered Structures: Modeling, Control, and Measurement/Estimation Aspects (Springer, Berlin 2013) M. Rakotondrabe, Piezoelectric Cantilevered Structures: Modeling, Control, and Measurement/Estimation Aspects (Springer, Berlin 2013)
16.
Zurück zum Zitat R.G. Ballas, Piezoelectric Multilayer Beam Bending Actuators: Static and Dynamic Behavior and Aspects of Sensor Integration (Springer, Berlin, 2007) R.G. Ballas, Piezoelectric Multilayer Beam Bending Actuators: Static and Dynamic Behavior and Aspects of Sensor Integration (Springer, Berlin, 2007)
17.
Zurück zum Zitat L. Jaulin, E. Walter, Set inversion via interval analysis for nonlinear bounded-error estimation. Automatica 29(4), 1053–1064 (1993)MathSciNetMATHCrossRef L. Jaulin, E. Walter, Set inversion via interval analysis for nonlinear bounded-error estimation. Automatica 29(4), 1053–1064 (1993)MathSciNetMATHCrossRef
Metadaten
Titel
Design of Piezoelectric Actuators with Guaranteed Performances Using the Performances Inclusion Theorem
verfasst von
Micky Rakotondrabe
Sofiane Khadraoui
Copyright-Jahr
2013
Verlag
Springer New York
DOI
https://doi.org/10.1007/978-1-4614-6684-0_3

Neuer Inhalt