Sliding Mode Tracking Control With Perturbation Estimation for Hysteresis Nonlinearity of Piezo-Actuated Stages

Piezo-actuated stages are widely applied in the field of high-precision positioning. However, piezo-actuated stages produce hysteresis between the input voltage and the output displacement that negatively influences the positioning accuracy. In this paper, the Bouc-Wen model is established and ident...

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Main Authors: Rui Xu, Xiuyu Zhang, Hongyan Guo, Miaolei Zhou
Format: Article
Language:English
Published: IEEE 2018-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8365771/
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spelling doaj-25a46cfa2ac84e9fa2d2bc162e7065782021-03-29T20:48:49ZengIEEEIEEE Access2169-35362018-01-016306173062910.1109/ACCESS.2018.28405388365771Sliding Mode Tracking Control With Perturbation Estimation for Hysteresis Nonlinearity of Piezo-Actuated StagesRui Xu0Xiuyu Zhang1Hongyan Guo2Miaolei Zhou3https://orcid.org/0000-0002-8040-2768Department of Control Science and Engineering, Jilin University, Changchun, ChinaSchool of Automation Engineering, Northeast Dianli University, Jilin City, ChinaDepartment of Control Science and Engineering, Jilin University, Changchun, ChinaDepartment of Control Science and Engineering, Jilin University, Changchun, ChinaPiezo-actuated stages are widely applied in the field of high-precision positioning. However, piezo-actuated stages produce hysteresis between the input voltage and the output displacement that negatively influences the positioning accuracy. In this paper, the Bouc-Wen model is established and identified using the bat-inspired optimization algorithm. Subsequently, based on the established hysteresis model, we propose a sliding mode control method with a new reaching law to suppress the hysteresis nonlinearity and achieve high-precision tracking control for the piezo-actuated stages. In addition, the proposed control method contains the perturbation estimation part, which can estimate online the modeling uncertainty and the unknown external disturbances. The stability of the proposed control method is demonstrated through the Lyapunov theory. Finally, to validate the effectiveness of the proposed control method, experiments are conducted on the piezo-actuated stages. Experimental results demonstrate that the proposed control method is superior to the feed-forward control and the conventional sliding mode control method.https://ieeexplore.ieee.org/document/8365771/Sliding mode tracking controlpiezo-actuated stageshysteresisBouc–Wen model
collection DOAJ
language English
format Article
sources DOAJ
author Rui Xu
Xiuyu Zhang
Hongyan Guo
Miaolei Zhou
spellingShingle Rui Xu
Xiuyu Zhang
Hongyan Guo
Miaolei Zhou
Sliding Mode Tracking Control With Perturbation Estimation for Hysteresis Nonlinearity of Piezo-Actuated Stages
IEEE Access
Sliding mode tracking control
piezo-actuated stages
hysteresis
Bouc–Wen model
author_facet Rui Xu
Xiuyu Zhang
Hongyan Guo
Miaolei Zhou
author_sort Rui Xu
title Sliding Mode Tracking Control With Perturbation Estimation for Hysteresis Nonlinearity of Piezo-Actuated Stages
title_short Sliding Mode Tracking Control With Perturbation Estimation for Hysteresis Nonlinearity of Piezo-Actuated Stages
title_full Sliding Mode Tracking Control With Perturbation Estimation for Hysteresis Nonlinearity of Piezo-Actuated Stages
title_fullStr Sliding Mode Tracking Control With Perturbation Estimation for Hysteresis Nonlinearity of Piezo-Actuated Stages
title_full_unstemmed Sliding Mode Tracking Control With Perturbation Estimation for Hysteresis Nonlinearity of Piezo-Actuated Stages
title_sort sliding mode tracking control with perturbation estimation for hysteresis nonlinearity of piezo-actuated stages
publisher IEEE
series IEEE Access
issn 2169-3536
publishDate 2018-01-01
description Piezo-actuated stages are widely applied in the field of high-precision positioning. However, piezo-actuated stages produce hysteresis between the input voltage and the output displacement that negatively influences the positioning accuracy. In this paper, the Bouc-Wen model is established and identified using the bat-inspired optimization algorithm. Subsequently, based on the established hysteresis model, we propose a sliding mode control method with a new reaching law to suppress the hysteresis nonlinearity and achieve high-precision tracking control for the piezo-actuated stages. In addition, the proposed control method contains the perturbation estimation part, which can estimate online the modeling uncertainty and the unknown external disturbances. The stability of the proposed control method is demonstrated through the Lyapunov theory. Finally, to validate the effectiveness of the proposed control method, experiments are conducted on the piezo-actuated stages. Experimental results demonstrate that the proposed control method is superior to the feed-forward control and the conventional sliding mode control method.
topic Sliding mode tracking control
piezo-actuated stages
hysteresis
Bouc–Wen model
url https://ieeexplore.ieee.org/document/8365771/
work_keys_str_mv AT ruixu slidingmodetrackingcontrolwithperturbationestimationforhysteresisnonlinearityofpiezoactuatedstages
AT xiuyuzhang slidingmodetrackingcontrolwithperturbationestimationforhysteresisnonlinearityofpiezoactuatedstages
AT hongyanguo slidingmodetrackingcontrolwithperturbationestimationforhysteresisnonlinearityofpiezoactuatedstages
AT miaoleizhou slidingmodetrackingcontrolwithperturbationestimationforhysteresisnonlinearityofpiezoactuatedstages
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