Neural modeling of rate-dependent and asymmetric hysteresis in ultrasonic motors

Usually, rotary travelling wave ultrasonic motor (RTWUSM) is involved with complex characteristic such as non-symmetric and rate-dependent hysteresis due to the inverse piezoelectric effect in the stator and the dynamics containing in the rotor. It is known that the hysteresis existing in RTWUSM is also a non-smooth nonlinearity with multi-valued mapping. Thus, the modeling of such characteristic of the RTWUSM is a real challenge. In this paper, a rate-dependent hysteretic operator is proposed to extract the rate-dependent and hysteretic features of the motor. Moreover, considering the friction between the rotor and the stator that causes the asymmetry of the minor-loop of the hysteresis, a compensation method is introduced in the neural model. Then, an extended input space involved with the proposed hysteretic operator is constructed to transform the multi-valued of the hysteresis into a one-to-one mapping. Based on the obtained expanded input space, the neural networks can be utilized for modeling of the behavior of the RTWUSM.

[1]  Mayergoyz,et al.  Mathematical models of hysteresis. , 1986, Physical review letters.

[2]  Laura E. Ray,et al.  Adaptive friction compensation using extended Kalman–Bucy filter friction estimation , 2001 .

[3]  Mohammad Bagher Menhaj,et al.  Training feedforward networks with the Marquardt algorithm , 1994, IEEE Trans. Neural Networks.

[4]  Ye-Hwa Chen,et al.  Piezomechanics using intelligent variable-structure control , 2001, IEEE Trans. Ind. Electron..

[5]  T. Funabashi,et al.  Mathematical model of ultrasonic motors for speed control , 2006, Twenty-First Annual IEEE Applied Power Electronics Conference and Exposition, 2006. APEC '06..

[6]  Tomonobu Senjyu,et al.  Position control of ultrasonic motors using MRAC with dead-zone compensation , 2001, IEEE Trans. Ind. Electron..

[7]  A Corigliano,et al.  Finite element modelling of a rotating piezoelectric ultrasonic motor. , 2005, Ultrasonics.

[8]  Li Chuntao,et al.  A neural networks model for hysteresis nonlinearity , 2004 .

[9]  Brian Armstrong-Hélouvry,et al.  Control of machines with friction , 1991, The Kluwer international series in engineering and computer science.

[10]  Harvey Thomas Banks,et al.  Hysteretic control influence operators representing smart material actuators: identification and approximation , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[11]  Brian Armstrong,et al.  New results in NPID control: Tracking, integral control, friction compensation and experimental results , 2001, IEEE Trans. Control. Syst. Technol..

[12]  Hui Chen,et al.  A neural networks based model for rate-dependent hysteresis for piezoceramic actuators , 2008 .

[13]  S. Y. Wang,et al.  A finite element model for the static and dynamic analysis of a piezoelectric bimorph , 2004 .

[14]  Takao Tsuchiya,et al.  Finite Element Simulation of Dynamic Responses of Piezoelectric Actuators , 1996 .

[15]  Brian Armstrong,et al.  New results in NPID control: tracking, integral control, friction compensation and experimental results , 1999, Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C).

[16]  S. Ueha,et al.  Ultrasonic motors : theory and applications , 1993 .

[17]  Jan Swevers,et al.  The generalized Maxwell-slip model: a novel model for friction Simulation and compensation , 2005, IEEE Transactions on Automatic Control.

[18]  Yonghong Tan,et al.  Neural network based identification of Preisach-type hysteresis in piezoelectric actuator using hysteretic operator , 2006 .

[19]  R. Ben Mrad,et al.  On the classical Preisach model for hysteresis in piezoceramic actuators , 2003 .

[20]  Meiling Zhu.  Contact analysis and mathematical modeling of traveling wave ultrasonic motors , 2004, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[21]  Hui Chen,et al.  Corrigendum to “A neural networks based model for rate-dependent hysteresis for piezoceramic actuators” [Sens. Actuators A 143 (2008) 370–376] , 2008 .

[22]  N.W. Hagood,et al.  Modeling of a piezoelectric rotary ultrasonic motor , 1995, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[23]  Peter Hagedorn,et al.  A note on the contact problem in an ultrasonic travelling wave motor , 1996 .

[24]  Toshiiku Sashida,et al.  An Introduction to Ultrasonic Motors , 1994 .

[25]  K. Kuhnen,et al.  Inverse control of systems with hysteresis and creep , 2001 .

[26]  Dong Sun,et al.  Modeling and performance evaluation of traveling-wave piezoelectric ultrasonic motors with analytical method☆ , 2002 .