Adaptive control for manipulators with unknown virtual control coefficients and input nonlinearities

Abstract This paper addresses the adaptive control problem for a one‐link manipulator system driven by a motor with uncertain virtual control coefficients (VCCs) and nonlinearities. The unknown VCCs are composed by the certain and uncertain items, where the first part is decided by the moment of ine...

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Main Authors: Tianyue Zhou, Cungen Liu, Huanqing Wang, Yulong Sun, Piming Ma, Wensheng Zhang, Weihong Zhu
Format: Article
Language:English
Published: Wiley 2022-07-01
Series:IET Control Theory & Applications
Online Access:https://doi.org/10.1049/cth2.12285
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author Tianyue Zhou
Cungen Liu
Huanqing Wang
Yulong Sun
Piming Ma
Wensheng Zhang
Weihong Zhu
author_facet Tianyue Zhou
Cungen Liu
Huanqing Wang
Yulong Sun
Piming Ma
Wensheng Zhang
Weihong Zhu
author_sort Tianyue Zhou
collection DOAJ
description Abstract This paper addresses the adaptive control problem for a one‐link manipulator system driven by a motor with uncertain virtual control coefficients (VCCs) and nonlinearities. The unknown VCCs are composed by the certain and uncertain items, where the first part is decided by the moment of inertia of the manipulator and another is generated by that of the load. An auxiliary variable and the Nussbaum gain technique are invoked to handle the uncertainties of VCCs and input nonlinearities. Moreover, a finite‐time prescribed performance function is introduced to design the adaptive control scheme for the manipulator system, which guarantees the tracking error converges to a fixed interval in a setting time and all signals in the manipulator system are bounded.
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spelling doaj.art-8c08fe46932b4dd492e43902bb452c282022-12-22T03:30:41ZengWileyIET Control Theory & Applications1751-86441751-86522022-07-0116111063107410.1049/cth2.12285Adaptive control for manipulators with unknown virtual control coefficients and input nonlinearitiesTianyue Zhou0Cungen Liu1Huanqing Wang2Yulong Sun3Piming Ma4Wensheng Zhang5Weihong Zhu6School of Information Science and Engineering Shandong University Qingdao ChinaSchool of Information and Electrical Engineering Shandong Jianzhu University Jinan ChinaDepartment of Mathematics Bohai University Jinzhou ChinaSchool of Information and Electrical Engineering Shandong Jianzhu University Jinan ChinaSchool of Information Science and Engineering Shandong University Qingdao ChinaSchool of Information Science and Engineering Shandong University Qingdao ChinaSchool of Information Science and Engineering Shandong University Qingdao ChinaAbstract This paper addresses the adaptive control problem for a one‐link manipulator system driven by a motor with uncertain virtual control coefficients (VCCs) and nonlinearities. The unknown VCCs are composed by the certain and uncertain items, where the first part is decided by the moment of inertia of the manipulator and another is generated by that of the load. An auxiliary variable and the Nussbaum gain technique are invoked to handle the uncertainties of VCCs and input nonlinearities. Moreover, a finite‐time prescribed performance function is introduced to design the adaptive control scheme for the manipulator system, which guarantees the tracking error converges to a fixed interval in a setting time and all signals in the manipulator system are bounded.https://doi.org/10.1049/cth2.12285
spellingShingle Tianyue Zhou
Cungen Liu
Huanqing Wang
Yulong Sun
Piming Ma
Wensheng Zhang
Weihong Zhu
Adaptive control for manipulators with unknown virtual control coefficients and input nonlinearities
IET Control Theory & Applications
title Adaptive control for manipulators with unknown virtual control coefficients and input nonlinearities
title_full Adaptive control for manipulators with unknown virtual control coefficients and input nonlinearities
title_fullStr Adaptive control for manipulators with unknown virtual control coefficients and input nonlinearities
title_full_unstemmed Adaptive control for manipulators with unknown virtual control coefficients and input nonlinearities
title_short Adaptive control for manipulators with unknown virtual control coefficients and input nonlinearities
title_sort adaptive control for manipulators with unknown virtual control coefficients and input nonlinearities
url https://doi.org/10.1049/cth2.12285
work_keys_str_mv AT tianyuezhou adaptivecontrolformanipulatorswithunknownvirtualcontrolcoefficientsandinputnonlinearities
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AT huanqingwang adaptivecontrolformanipulatorswithunknownvirtualcontrolcoefficientsandinputnonlinearities
AT yulongsun adaptivecontrolformanipulatorswithunknownvirtualcontrolcoefficientsandinputnonlinearities
AT pimingma adaptivecontrolformanipulatorswithunknownvirtualcontrolcoefficientsandinputnonlinearities
AT wenshengzhang adaptivecontrolformanipulatorswithunknownvirtualcontrolcoefficientsandinputnonlinearities
AT weihongzhu adaptivecontrolformanipulatorswithunknownvirtualcontrolcoefficientsandinputnonlinearities