Precision positioning of a piezoelectric system via the robust control design considering microscopic hysteresis model

Chang-Po Chao*, Pen Yen Liao

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This study performs precision positioning of a generic piezoelectric structure against hysteresis effects by the robust control design based on a microscopic hysteresis model. This microscopic hysteresis model was developed essentially to characterize the general hysteresis effects of a piezo-structure at a microscopic level, which requires no additional identification of the hysteresis effects once the microscopic model is established. This is accomplished by adding a polarization term into the linear constitutive equations of piezoelectric materials. The polarization term is then described by the well-known hysteresis model, Preisach model. Applying basic principles of finite elements and Lagrange's equations, the macroscopic governing equations of an arbitrary piezoelectric system infinite elements can be obtained. Based on the model, a controller consisting of two parts is designed to perform the precision positioning of a generic piezo-structure. The first part is responsible for a direct cancellation of the hysteresis term at the microscopic level, while the second one is a robust H controller responsible for overcoming the imprecision of the microscopic hysteresis modeling. In this way, the control effort is then more energy-economic than without microscopic hysteresis cancellation. A simple piezoelectric structure of bender-bimorph cantilever beam is considered for designs and experimental validation. Based on experimental results, the designed H controller is found effective to suppress hysteresis effects and achieve excellent precision positioning.

Original languageEnglish
Title of host publicationInstitute of Applied Mechanics - 17th International Conference on Adaptive Structures and Technologies, ICAST 2006
Pages213-216
Number of pages4
StatePublished - 1 Dec 2006
Event17th International Conference on Adaptive Structures and Technologies, ICAST 2006 - Taipei, Taiwan
Duration: 16 Oct 200619 Oct 2006

Publication series

NameInstitute of Applied Mechanics - 17th International Conference on Adaptive Structures and Technologies, ICAST 2006

Conference

Conference17th International Conference on Adaptive Structures and Technologies, ICAST 2006
CountryTaiwan
CityTaipei
Period16/10/0619/10/06

Keywords

  • Finite element method
  • H control
  • Hysteresis effects
  • Piezoelectric structures
  • Preisach model

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