Modeling a hysteretic piezoelectric actuator employing a modified Bouc-Wen model

The present paper addresses the modeling of a hysteretic piezoelectric actuator. The model employed is that of Bouc-Wen. The Bouc-Wen model consists in a first-order nonlinear state equation, and an output equation where the input and state signals appear linearly. The model is modified to describe with a reasonable precision the experimentally observed hysteretic behavior of a piezoelectric actuator. A new identification technique is presented and applied to the piezoelectric actuator. The model is validated by means of experiments.

[1]  José Rodellar,et al.  Adaptive control of a hysteretic structural system , 2005, Autom..

[2]  S. Li-ning,et al.  Hysteresis and creep compensation for piezoelectric actuator in open-loop operation , 2005 .

[3]  S. I. Dudkina,et al.  Preisach model and simulation of the converse piezoelectric coefficient in ferroelectric ceramics , 2005 .

[4]  Elias B. Kosmatopoulos,et al.  Development of adaptive modeling techniques for non-linear hysteretic systems , 2002 .

[5]  Oriol Gomis-Bellmunt,et al.  A limit cycle approach for the parametric identification of hysteretic systems , 2008, Syst. Control. Lett..

[6]  A. Visintin Differential models of hysteresis , 1994 .

[7]  Robert J. Veillette,et al.  A charge controller for linear operation of a piezoelectric stack actuator , 2005, IEEE Transactions on Control Systems Technology.

[8]  F. Ikhouane,et al.  On the Hysteretic Bouc–Wen Model , 2005 .

[9]  Yi Guo,et al.  An H∞ almost disturbance decoupling robust controller design for a piezoelectric bimorph actuator with hysteresis , 1999, IEEE Trans. Control. Syst. Technol..

[10]  Y. Wen Method for Random Vibration of Hysteretic Systems , 1976 .

[11]  Paolo Nistri,et al.  Mathematical Models for Hysteresis , 1993, SIAM Rev..

[12]  P. Curie,et al.  Développement par compression de l'électricité polaire dans les cristaux hémièdres à faces inclinées , 1880 .

[13]  Ralph C. Smith,et al.  Smart material systems - model development , 2005, Frontiers in applied mathematics.

[14]  John A. Main,et al.  Design Impact of Piezoelectric Actuator Nonlinearities , 1997 .

[15]  T. Low,et al.  Modeling of a three-layer piezoelectric bimorph beam with hysteresis , 1995 .

[16]  Ralph C. Smith Smart Material Systems , 2005 .

[17]  Seung-Ik Lee,et al.  A hysteresis model for the field-dependent damping force of a magnetorheological damper , 2001 .

[18]  José Rodellar,et al.  A linear controller for hysteretic systems , 2006, IEEE Transactions on Automatic Control.

[19]  F. Duhem,et al.  Die dauernden Aenderungen und die Thermodynamik , 1897 .

[20]  Greg Foliente,et al.  Hysteresis Modeling of Wood Joints and Structural Systems , 1995 .