TY - JOUR
T1 - Adaptive Estimated Inverse Output-Feedback Quantized Control for Piezoelectric Positioning Stage
AU - Zhang, Xiuyu
AU - Wang, Yue
AU - Wang, Chenliang
AU - Su, Chun Yi
AU - Li, Zhi
AU - Chen, Xinkai
N1 - Funding Information:
Manuscript received October 7, 2017; revised February 6, 2018; accepted April 3, 2018. Date of publication April 26, 2018; date of current version March 28, 2019. This work was supported in part by the National Natural Science Foundation of China under Grant 61673101, in part by the Science and Technology Project of Jilin Province under Grant 20180201009SF, Grant 20170414011GH, Grant 20180201004SF, and Grant 20180101069JC, and in part by JSPS under Grant C-15K06152 and Grant 14032011-000073. This paper was recommended by Associate Editor F. Wu. (Corresponding authors: Xiuyu Zhang; Chenliang Wang.) X. Zhang and Y. Wang are with the School of Automation Engineering, Northeast Electric Power University, Jilin 132012, China (e-mail: zhangxiuyu80@163.com; wangyue930708@163.com).
Publisher Copyright:
© 2013 IEEE.
PY - 2019/6
Y1 - 2019/6
N2 - Focusing on the piezoelectric positioning stage, this paper proposes an adaptive estimated inverse output-feedback quantized control scheme. First, the quantized issue due to the use of computer is addressed by introducing a linear time-varying quantizer model where the quantizer parameters can be estimated on-line. Second, by using the fuzzy approximator, the developed controller can avoid the identification of the parameters in the piezoelectric positioning stage. Third, by constructing the estimated inverse compensator of the hysteresis, the hysteresis nonlinearities in the piezoelectric actuator are mitigated; Fourth, the states observer is designed to avoid the measurements of the velocity and acceleration signals. The analysis of stability shows all the signals in the piezoelectric positioning stage are uniformly ultimately bounded and the prespecified tracking performance of the quantized control system is achieved by employing the error transformed function. Finally, a computer controlled experiments for the piezoelectric positioning stage is conducted to show the effectiveness of the proposed quantized controller.
AB - Focusing on the piezoelectric positioning stage, this paper proposes an adaptive estimated inverse output-feedback quantized control scheme. First, the quantized issue due to the use of computer is addressed by introducing a linear time-varying quantizer model where the quantizer parameters can be estimated on-line. Second, by using the fuzzy approximator, the developed controller can avoid the identification of the parameters in the piezoelectric positioning stage. Third, by constructing the estimated inverse compensator of the hysteresis, the hysteresis nonlinearities in the piezoelectric actuator are mitigated; Fourth, the states observer is designed to avoid the measurements of the velocity and acceleration signals. The analysis of stability shows all the signals in the piezoelectric positioning stage are uniformly ultimately bounded and the prespecified tracking performance of the quantized control system is achieved by employing the error transformed function. Finally, a computer controlled experiments for the piezoelectric positioning stage is conducted to show the effectiveness of the proposed quantized controller.
KW - Estimated inverse control
KW - fuzzy approximaor
KW - hysteresis nonlinearities
KW - quantizer
KW - states observer
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U2 - 10.1109/TCYB.2018.2826519
DO - 10.1109/TCYB.2018.2826519
M3 - Article
C2 - 29994043
AN - SCOPUS:85046370441
SN - 2168-2267
VL - 49
SP - 2106
EP - 2118
JO - IEEE Transactions on Cybernetics
JF - IEEE Transactions on Cybernetics
IS - 6
M1 - 8350376
ER -