@article{0f8cf451433a43c488b81edbbccf7d90,
title = "Adaptive Implicit Inverse Control for a Class of Discrete-Time Hysteretic Nonlinear Systems and Its Application",
abstract = "This article proposes an adaptive implicit inverse control scheme for a class of discrete-time hysteretic nonlinear systems. The Prandtl-Ishlinskii model is employed to characterize the hysteresis loop in piezoelectric actuator. The main contributions are as follows: 1) by using the dynamic surface control technique, which introduces the digital first-order low-pass filter, the original control system are not required to be transformed into an unknown special form; 2) the hysteresis implicit inverse compensator is constructed to overcome the hysteresis, which implies that the hysteresis item coupled with control signal is treated as the temporary control signal from which the method of searching the approximately control signal is designed; and 3) by employing the experimental platform of the piezoelectric positioning stage, the experimental verifications of the designed discrete-time adaptive controller are implemented. It is proved that all the signals in the closed-loop system are semiglobally uniformly ultimately bounded and the experimental results show the effectiveness of the proposed adaptive dynamic surface discrete-time motion control (ADSDMC) scheme.",
keywords = "Adaptive control, discrete time, dynamic surface control, hysteresis nonlinearities",
author = "Xiuyu Zhang and Bin Li and Xinkai Chen and Zhi Li and Yaxuan Peng and Su, {Chun Yi}",
note = "Funding Information: Manuscript received August 28, 2019; revised March 25, 2020; accepted April 25, 2020. Date of publication May 6, 2020; date of current version August 13, 2020. This work was supported in part by the National Natural Science Foundation of China under Grant 61673101, Grant 61973131, Grant 61733006, and Grant U1813201, in part by the Japan Society for the Promotion of Science under Grant C-18K04212, in part by the Science and Technology Project of Jilin Province under Grant 20180201009SF, Grant 20170414011GH, Grant 20180201004SF, and Grant 20180101069JC, in part by the Fundamental Research Funds for the Central Universities under Grant N2008002, and in part by “Xing Liao Ying Cai” Program under Grant XLYC1907073. Recommended by Technical Editor Q. Xu and Senior Editor X. Tan. (Corresponding authors: Xinkai Chen; Yaxuan Peng.) Xiuyu Zhang, Bin Li, and Yaxuan Peng are with the School of Automation Engineering, Northeast Electric Power University, Jilin 132012, China (e-mail: zhangxiuyu80@163.com; Bingo_lb@163.com; pengyaxuan_64@163.com). Publisher Copyright: {\textcopyright} 1996-2012 IEEE. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2020",
month = aug,
doi = "10.1109/TMECH.2020.2991666",
language = "English",
volume = "25",
pages = "2112--2122",
journal = "IEEE/ASME Transactions on Mechatronics",
issn = "1083-4435",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "4",
}