Variable gain switching exact differential observer‐based compensation control for servo system with backlash

Abstract This paper proposes a novel variable gain switching exact differential observer (SEDO) to deal with the state estimation of mechanical servo system with unknown backlash. In order to compensate unknown non‐linear backlash accurately, a switching backlash torque mathematic model is construct...

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Main Authors: Guofa Sun, Yaming Xu, Yan Wang, Gang Wang
Format: Article
Language:English
Published: Wiley 2021-09-01
Series:IET Control Theory & Applications
Subjects:
Online Access:https://doi.org/10.1049/cth2.12108
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author Guofa Sun
Yaming Xu
Yan Wang
Gang Wang
author_facet Guofa Sun
Yaming Xu
Yan Wang
Gang Wang
author_sort Guofa Sun
collection DOAJ
description Abstract This paper proposes a novel variable gain switching exact differential observer (SEDO) to deal with the state estimation of mechanical servo system with unknown backlash. In order to compensate unknown non‐linear backlash accurately, a switching backlash torque mathematic model is constructed to describe the input–output relationships of backlash. Then, based on the switching backlash torque mathematic model, a novel SEDO with variable gain strategy is implemented to compensate the influence of backlash and estimate system states accurately in terms of the change of real operation conditions. Moreover, the designed controller further alleviates the computational burden by conducting a feedforward compensation strategy, part of which is shared by the observer. It is proven that all the signals in the closed‐loop system are bounded, observation error and tracking error are convergent to a small compact set of the origin. Two simulations and two different motor servo test rigs are established to further illustrate the effectiveness of the proposed approach.
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spelling doaj.art-52fc2a4c388c4e4ea92891d54dc344762022-12-22T04:36:59ZengWileyIET Control Theory & Applications1751-86441751-86522021-09-0115141789180310.1049/cth2.12108Variable gain switching exact differential observer‐based compensation control for servo system with backlashGuofa Sun0Yaming Xu1Yan Wang2Gang Wang3School of Information and Control Engineering Qingdao University of Technology Qingdao ChinaSchool of Astronautics Harbin Institute of Technology Harbin ChinaSchool of Astronautics Harbin Institute of Technology Harbin ChinaSchool of Information and Control Engineering Qingdao University of Technology Qingdao ChinaAbstract This paper proposes a novel variable gain switching exact differential observer (SEDO) to deal with the state estimation of mechanical servo system with unknown backlash. In order to compensate unknown non‐linear backlash accurately, a switching backlash torque mathematic model is constructed to describe the input–output relationships of backlash. Then, based on the switching backlash torque mathematic model, a novel SEDO with variable gain strategy is implemented to compensate the influence of backlash and estimate system states accurately in terms of the change of real operation conditions. Moreover, the designed controller further alleviates the computational burden by conducting a feedforward compensation strategy, part of which is shared by the observer. It is proven that all the signals in the closed‐loop system are bounded, observation error and tracking error are convergent to a small compact set of the origin. Two simulations and two different motor servo test rigs are established to further illustrate the effectiveness of the proposed approach.https://doi.org/10.1049/cth2.12108Control system analysis and synthesis methodsStability in control theorySelf‐adjusting control systemsNonlinear control systems
spellingShingle Guofa Sun
Yaming Xu
Yan Wang
Gang Wang
Variable gain switching exact differential observer‐based compensation control for servo system with backlash
IET Control Theory & Applications
Control system analysis and synthesis methods
Stability in control theory
Self‐adjusting control systems
Nonlinear control systems
title Variable gain switching exact differential observer‐based compensation control for servo system with backlash
title_full Variable gain switching exact differential observer‐based compensation control for servo system with backlash
title_fullStr Variable gain switching exact differential observer‐based compensation control for servo system with backlash
title_full_unstemmed Variable gain switching exact differential observer‐based compensation control for servo system with backlash
title_short Variable gain switching exact differential observer‐based compensation control for servo system with backlash
title_sort variable gain switching exact differential observer based compensation control for servo system with backlash
topic Control system analysis and synthesis methods
Stability in control theory
Self‐adjusting control systems
Nonlinear control systems
url https://doi.org/10.1049/cth2.12108
work_keys_str_mv AT guofasun variablegainswitchingexactdifferentialobserverbasedcompensationcontrolforservosystemwithbacklash
AT yamingxu variablegainswitchingexactdifferentialobserverbasedcompensationcontrolforservosystemwithbacklash
AT yanwang variablegainswitchingexactdifferentialobserverbasedcompensationcontrolforservosystemwithbacklash
AT gangwang variablegainswitchingexactdifferentialobserverbasedcompensationcontrolforservosystemwithbacklash