Chu FANG, Jin GUO, Xin-xing XU, et al. Compensating controller for hysteresis nonlinerity of piezoelectric ceramics[J]. Optics and precision engineering, 2016, 24(9): 2217-2223.
DOI:
Chu FANG, Jin GUO, Xin-xing XU, et al. Compensating controller for hysteresis nonlinerity of piezoelectric ceramics[J]. Optics and precision engineering, 2016, 24(9): 2217-2223. DOI: 10.3788/OPE.20162409.2217.
Compensating controller for hysteresis nonlinerity of piezoelectric ceramics
To effectively compensate the hysteresis nonlinearity of piezoelectric ceramics
a modified PI model based on STOP operator was proposed to avoid the complex processing in solving inverse model and time consuming in interpolating method of the traditional PI model based on PLAY operator. Firstly
traditional PI models based on PLAY operator or STOP operator were introduced. Then
modified PI model based on STOP operator was established by taking an expecting displacement as the input and a control voltage as the output
and the model was used as a feedback controller to compensate the hysteresis effect of piezoelectric ceramics. To balance the ability of local optimization and global optimization
the particle swarm optimization algorithm was improved to identify the weights of operators with different thresholds. Finally
the modified PI model was used to verify experimentally the compensating effects for the hysteresis nonlinearity. Two groups of experiments were carried out
and the results show that the hysteresis has been compensated well by modified PI model with the error no more than 1% no matter the input is continuous or random. It concludes that
the modified PI model based on STOP operator is of great value in the field of piezoelectric ceramic control.
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references
LI W, CHEN X D. Compensation of hysteresis in piezoelectric actuators without dynamics modeling[J]. Sensors and Actuators A:Physical, 2013, 199:89-97.
YANG G, WANG D H, LI SH D. Single piezoelectric ceramic stack actuator based fast steering mirror with fixed rotation axis and large excursion angle[J].Sensors and Actuators A:Physical, 2015, 235:292-299.
ZHU W, BIAN L X, AN Y, et al.. Modeling and control of a two-axis fast steering mirror with piezoelectric stack actuators for laser beam tracking[J]. Smart Structure and Materials, 2015, 24:075014.
QI K Q, YANG X, CHAO F, et al.. Analysis of the displacement amplification ratio of bridge-type mechanism[J].Mechanism and Machine Theory, 2015, 87:45-56.
CUI Y G, ZHU Y X, LOU J Q, et al.. Detection of finger displacement and gripping force of piezoelectric micro-gripper[J].Opt. Precision Eng., 2015, 23(5):1372-1379.(in Chinese)
RU CH H, CHEN L G, SHAO B, et al.. A hysteresis compensation method of piezoelectric actuator:Model, identification and control[J]. Control Engineering Practice, 2009, 17:1107-1114.
ZIRKA S E, MOROZ Y I, MARKETOS P, et al..Dynamic hysteresis modeling[J]. Science Direct:Physica B, 2004, 343:90-95.
GAUL L, BECKER J. Model-based piezoelectric hysteresis and creep compensation for highly-dynamic feedforward rest-to-rest motion control of piezoelectrically actuated flexible structures[J]. International Journal of Engineering Science, 2009, 47:1193-1207.
XIAO SH L, LI Y M. Dynamic compensation and H∞ control for piezoelectric actuators based on the inverse Bouc-Wen model[J]. Robotics and Computer-Integrated Manufacturing, 2014, 30:47-54.
YUANG G, ZHANG X B, WANG D H, et al..Hysteresis and linearization of piezoelectric fast steering mirror[J].Opt. Precision Eng., 2015, 23(6):1650-1656.(in Chinese)
BAHADUR I M, MILLS J K. A new model of hysteresis of piezoelectric actuators[C]. Proceedings of the 2011 IEEE International Conference on Mechatronics and Automation. August 7-10, Beijing, China.
MACHI J W, NISTRI P, ZECCA P. Mathematical models for hysteresis[J]. SIAW Review. 35(1993)94-123.
MARTIN B. Some mathematical properties of the preisach model for hysteresis[J]. Transcations on Magnetics. 25(4)1989.
LIU S N, SU CH Y. A modified generalized Prandtl-Ishlinskii model and its inverse for hysteresis compensation[C]. 2013 American Control Conference, Washington, 2013:17-19.
WU Y L, LIU T X, ZHANG ZH D, et al.. Research on compound control arithmetic ofpiezoelectric ceramic based on PI model[J]. Piezoelectrics & Acoustooptics, 2015, 37(6):950-953.(in Chinese)
JANAIDEH M A, RAKHEJA S, SU CH Y. Experimental characterization and modeling of rate-dependent hysteresis of a piezoceramic actuator[J]. Mechatronics, 2009, 10:656-670.
BASU M. Modified particle swarm optimization for nonconvex economic dispatch problems[J]. Electrical Power and Energy Systems, 2015, 69:304-312.
MU A, CAO D, WANG X H. A modified particle swarm optimization algorithm[J]. Natural Science, 2009, 2(1):151-155.
YANG M J, GU G Y, ZHU L M. Parameter identification of the generalized Prandtl-Ishlinskii model for piezoelectric actuators using modified particle swarm optimization[J]. Sensors and Actuators A:Physics, 2013, 189:254-265.