Approximation-Based Fixed-Time Adaptive Tracking Control for a Class of Uncertain Nonlinear Pure-Feedback Systems
This paper examines approximation-based fixed-time adaptive tracking control for a class of uncertain nonlinear pure-feedback systems. Novel virtual and actual controllers are designed that resolve the meaninglessness of virtual and actual controllers at the origin and in the negative domain, and th...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/4205914 |
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| author | Cheng He Jian Wu Jiyang Dai Zhe Zhang Libin Xu Pinwei Li |
| author_facet | Cheng He Jian Wu Jiyang Dai Zhe Zhang Libin Xu Pinwei Li |
| author_sort | Cheng He |
| collection | DOAJ |
| description | This paper examines approximation-based fixed-time adaptive tracking control for a class of uncertain nonlinear pure-feedback systems. Novel virtual and actual controllers are designed that resolve the meaninglessness of virtual and actual controllers at the origin and in the negative domain, and the sufficient condition for the system to have semiglobal fixed-time stability is also provided. Radial basis function neural networks are introduced to approximate unknown functions for solving the fixed-time control problem of unknown nonlinear pure-feedback systems, and the mean value theorem is used to solve the problem of nonaffine structure in nonlinear pure-feedback systems. The controllers designed in this paper ensure that all signals in the closed-loop system are semiglobally uniform and ultimately bounded in a fixed time. Two simulation results show that appropriate design parameters can limit the tracking error within a region of the origin in a fixed time. |
| format | Article |
| id | doaj-art-4a3ecda6abc543a291613bb96d38983e |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-4a3ecda6abc543a291613bb96d38983e2025-02-03T06:45:59ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/42059144205914Approximation-Based Fixed-Time Adaptive Tracking Control for a Class of Uncertain Nonlinear Pure-Feedback SystemsCheng He0Jian Wu1Jiyang Dai2Zhe Zhang3Libin Xu4Pinwei Li5School of Information Engineering, Nanchang Hangkong University, Nanchang 330063, ChinaSchool of Information Engineering, Nanchang Hangkong University, Nanchang 330063, ChinaSchool of Information Engineering, Nanchang Hangkong University, Nanchang 330063, ChinaSchool of Information Engineering, Nanchang Hangkong University, Nanchang 330063, ChinaSchool of Information Engineering, Nanchang Hangkong University, Nanchang 330063, ChinaSchool of Information Engineering, Nanchang Hangkong University, Nanchang 330063, ChinaThis paper examines approximation-based fixed-time adaptive tracking control for a class of uncertain nonlinear pure-feedback systems. Novel virtual and actual controllers are designed that resolve the meaninglessness of virtual and actual controllers at the origin and in the negative domain, and the sufficient condition for the system to have semiglobal fixed-time stability is also provided. Radial basis function neural networks are introduced to approximate unknown functions for solving the fixed-time control problem of unknown nonlinear pure-feedback systems, and the mean value theorem is used to solve the problem of nonaffine structure in nonlinear pure-feedback systems. The controllers designed in this paper ensure that all signals in the closed-loop system are semiglobally uniform and ultimately bounded in a fixed time. Two simulation results show that appropriate design parameters can limit the tracking error within a region of the origin in a fixed time.http://dx.doi.org/10.1155/2020/4205914 |
| spellingShingle | Cheng He Jian Wu Jiyang Dai Zhe Zhang Libin Xu Pinwei Li Approximation-Based Fixed-Time Adaptive Tracking Control for a Class of Uncertain Nonlinear Pure-Feedback Systems Complexity |
| title | Approximation-Based Fixed-Time Adaptive Tracking Control for a Class of Uncertain Nonlinear Pure-Feedback Systems |
| title_full | Approximation-Based Fixed-Time Adaptive Tracking Control for a Class of Uncertain Nonlinear Pure-Feedback Systems |
| title_fullStr | Approximation-Based Fixed-Time Adaptive Tracking Control for a Class of Uncertain Nonlinear Pure-Feedback Systems |
| title_full_unstemmed | Approximation-Based Fixed-Time Adaptive Tracking Control for a Class of Uncertain Nonlinear Pure-Feedback Systems |
| title_short | Approximation-Based Fixed-Time Adaptive Tracking Control for a Class of Uncertain Nonlinear Pure-Feedback Systems |
| title_sort | approximation based fixed time adaptive tracking control for a class of uncertain nonlinear pure feedback systems |
| url | http://dx.doi.org/10.1155/2020/4205914 |
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