Modeling and high dynamic compensating the rate-dependent hysteresis of piezoelectric actuators via a novel modified inverse preisach model

Shunli Xiao, Yangmin Li

Research output: Journal article publicationJournal articleAcademic researchpeer-review

139 Citations (Scopus)


Hysteresis of a piezoelectric actuator is rate-dependent, but most hysteresis models are based on elementary rate-independent models, which are not suitable for modeling actuator behavior across a wide range of frequencies. This paper presents a novel modified inverse Preisach model to compensate the hysteresis of a piezoelectric actuator at varying frequency ranges. The classical Preisach model for hysteresis is introduced first, the identification of \mu-function through least square method is conducted afterwards. The linearity property of the Preisach model is analyzed and verified by experiment. A novel modified inverse Preisach model featured with weighed sum of μ -density functions is proposed, which is based on the linearity property. The fast Fourier transform method is adopted to select the proper μ-density functions and weights to form a real-time online rate-dependent compensator for piezoceramic (PZTs) hysteresis. During experiments with tracking multifrequency composed signals, we have observed that the hysteresis features of the PZT can be consistently compensated. The experimental results show that the proposed open-loop hysteresis adjust method greatly improves the tracking control accuracy of the PZT.
Original languageEnglish
Article number6303887
Pages (from-to)1549-1557
Number of pages9
JournalIEEE Transactions on Control Systems Technology
Issue number5
Publication statusPublished - 1 Jan 2013
Externally publishedYes


  • Compensator
  • hysteresis
  • inverse preisach model
  • piezoelectric actuators
  • Trajectory tracking planning

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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