Adaptive Differentiator-Based Predefined-Time Control for Nonlinear Systems Subject to Pure-Feedback Form and Unknown Disturbance
In this article, by utilizing the predefined-time stability theory, the predefined-time output tracking control problem for perturbed uncertain nonlinear systems with pure-feedback structure is addressed. The nonaffine structure of the original system is simplified as an affine form via the property...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/7029058 |
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| _version_ | 1832548890048462848 |
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| author | Man Yang Qiang Zhang Ke Xu Ming Chen |
| author_facet | Man Yang Qiang Zhang Ke Xu Ming Chen |
| author_sort | Man Yang |
| collection | DOAJ |
| description | In this article, by utilizing the predefined-time stability theory, the predefined-time output tracking control problem for perturbed uncertain nonlinear systems with pure-feedback structure is addressed. The nonaffine structure of the original system is simplified as an affine form via the property of the mean value theorem. Furthermore, the design difficulty from the uncertain nonlinear function is overcome by the excellent approximation performance of RBF neural networks (NNs). An adaptive predefined-time controller is designed by introducing the finite-time differentiator which is used to decrease the computational complexity problem appeared in the traditional backstepping control. It is proved that the proposed control method guarantees all signals in the closed-loop system remain bound and the tracking error converges to zero within the predefined time. Based on the controller designed in this paper, the expected results can be obtained in predefined time, which can be illustrated by the simulation results. |
| format | Article |
| id | doaj-art-6c933c9daaef41cf94de72d6ec01e032 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-6c933c9daaef41cf94de72d6ec01e0322025-02-03T06:12:49ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/70290587029058Adaptive Differentiator-Based Predefined-Time Control for Nonlinear Systems Subject to Pure-Feedback Form and Unknown DisturbanceMan Yang0Qiang Zhang1Ke Xu2Ming Chen3School of Mathematical Sciences, Bohai University, Jinzhou 121000, Liaoning, ChinaSchool of Mathematical Sciences, Bohai University, Jinzhou 121000, Liaoning, ChinaSchool of Mathematical Sciences, Bohai University, Jinzhou 121000, Liaoning, ChinaSchool of Electronic and Information Engineering, University of Science and Technology Liaoning, Anshan 114000, Liaoning, ChinaIn this article, by utilizing the predefined-time stability theory, the predefined-time output tracking control problem for perturbed uncertain nonlinear systems with pure-feedback structure is addressed. The nonaffine structure of the original system is simplified as an affine form via the property of the mean value theorem. Furthermore, the design difficulty from the uncertain nonlinear function is overcome by the excellent approximation performance of RBF neural networks (NNs). An adaptive predefined-time controller is designed by introducing the finite-time differentiator which is used to decrease the computational complexity problem appeared in the traditional backstepping control. It is proved that the proposed control method guarantees all signals in the closed-loop system remain bound and the tracking error converges to zero within the predefined time. Based on the controller designed in this paper, the expected results can be obtained in predefined time, which can be illustrated by the simulation results.http://dx.doi.org/10.1155/2021/7029058 |
| spellingShingle | Man Yang Qiang Zhang Ke Xu Ming Chen Adaptive Differentiator-Based Predefined-Time Control for Nonlinear Systems Subject to Pure-Feedback Form and Unknown Disturbance Complexity |
| title | Adaptive Differentiator-Based Predefined-Time Control for Nonlinear Systems Subject to Pure-Feedback Form and Unknown Disturbance |
| title_full | Adaptive Differentiator-Based Predefined-Time Control for Nonlinear Systems Subject to Pure-Feedback Form and Unknown Disturbance |
| title_fullStr | Adaptive Differentiator-Based Predefined-Time Control for Nonlinear Systems Subject to Pure-Feedback Form and Unknown Disturbance |
| title_full_unstemmed | Adaptive Differentiator-Based Predefined-Time Control for Nonlinear Systems Subject to Pure-Feedback Form and Unknown Disturbance |
| title_short | Adaptive Differentiator-Based Predefined-Time Control for Nonlinear Systems Subject to Pure-Feedback Form and Unknown Disturbance |
| title_sort | adaptive differentiator based predefined time control for nonlinear systems subject to pure feedback form and unknown disturbance |
| url | http://dx.doi.org/10.1155/2021/7029058 |
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