Finite-Time Adaptive Tracking Control for a Class of Pure-Feedback Nonlinear Systems with Disturbances via Decoupling Technique
This paper addresses the finite-time adaptive tracking control problem for a class of pure feedback nonlinear systems whose nonaffine functions may not be differentiable. By properly modeling the nonaffine function, the design difficulty of the pure feedback structure is overcome without using the m...
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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/10.1155/2020/1354340 |
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| _version_ | 1832560057961676800 |
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| author | Qiangqiang Zhu Ben Niu Shengtao Li Peiyong Duan Dong Yang |
| author_facet | Qiangqiang Zhu Ben Niu Shengtao Li Peiyong Duan Dong Yang |
| author_sort | Qiangqiang Zhu |
| collection | DOAJ |
| description | This paper addresses the finite-time adaptive tracking control problem for a class of pure feedback nonlinear systems whose nonaffine functions may not be differentiable. By properly modeling the nonaffine function, the design difficulty of the pure feedback structure is overcome without using the median value theorem. In our design procedure, an finite-time adaptive controller is elaborately developed using the decoupling technology, which eliminates the limitation assumption on the partial derivatives of nonaffine functions. Furthermore, the constructed controller can stabilize the system within a finite-time so that all signals in the closed-loop system are semiglobally uniformly finite-time bounded (SGUFB), while ensuring the tracking performance. Finally, the simulation results prove the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-b33976152b7d48dca7c43da47c65771d |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-b33976152b7d48dca7c43da47c65771d2025-02-03T01:28:32ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/13543401354340Finite-Time Adaptive Tracking Control for a Class of Pure-Feedback Nonlinear Systems with Disturbances via Decoupling TechniqueQiangqiang Zhu0Ben Niu1Shengtao Li2Peiyong Duan3Dong Yang4School of Information Science and Engineering, Shandong Normal University, Jinan 250014, ChinaSchool of Information Science and Engineering, Shandong Normal University, Jinan 250014, ChinaSchool of Information Science and Engineering, Shandong Normal University, Jinan 250014, ChinaSchool of Information Science and Engineering, Shandong Normal University, Jinan 250014, ChinaSchool of Engineering, Qufu Normal University, Rizhao 276826, ChinaThis paper addresses the finite-time adaptive tracking control problem for a class of pure feedback nonlinear systems whose nonaffine functions may not be differentiable. By properly modeling the nonaffine function, the design difficulty of the pure feedback structure is overcome without using the median value theorem. In our design procedure, an finite-time adaptive controller is elaborately developed using the decoupling technology, which eliminates the limitation assumption on the partial derivatives of nonaffine functions. Furthermore, the constructed controller can stabilize the system within a finite-time so that all signals in the closed-loop system are semiglobally uniformly finite-time bounded (SGUFB), while ensuring the tracking performance. Finally, the simulation results prove the effectiveness of the proposed method.http://dx.doi.org/10.1155/2020/1354340 |
| spellingShingle | Qiangqiang Zhu Ben Niu Shengtao Li Peiyong Duan Dong Yang Finite-Time Adaptive Tracking Control for a Class of Pure-Feedback Nonlinear Systems with Disturbances via Decoupling Technique Complexity |
| title | Finite-Time Adaptive Tracking Control for a Class of Pure-Feedback Nonlinear Systems with Disturbances via Decoupling Technique |
| title_full | Finite-Time Adaptive Tracking Control for a Class of Pure-Feedback Nonlinear Systems with Disturbances via Decoupling Technique |
| title_fullStr | Finite-Time Adaptive Tracking Control for a Class of Pure-Feedback Nonlinear Systems with Disturbances via Decoupling Technique |
| title_full_unstemmed | Finite-Time Adaptive Tracking Control for a Class of Pure-Feedback Nonlinear Systems with Disturbances via Decoupling Technique |
| title_short | Finite-Time Adaptive Tracking Control for a Class of Pure-Feedback Nonlinear Systems with Disturbances via Decoupling Technique |
| title_sort | finite time adaptive tracking control for a class of pure feedback nonlinear systems with disturbances via decoupling technique |
| url | http://dx.doi.org/10.1155/2020/1354340 |
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