Robust Adaptive Dynamic Surface Control for a Class of Nonlinear Dynamical Systems with Unknown Hysteresis
The output tracking problem for a class of uncertain strict-feedback nonlinear systems with unknown Duhem hysteresis input is investigated. In order to handle the undesirable effects caused by unknown hysteresis, the properties in respect to Duhem model are used to decompose it as a nonlinear smooth...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/640249 |
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| _version_ | 1832565025309458432 |
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| author | Yong-Hua Liu Ying Feng Xinkai Chen |
| author_facet | Yong-Hua Liu Ying Feng Xinkai Chen |
| author_sort | Yong-Hua Liu |
| collection | DOAJ |
| description | The output tracking problem for a class of uncertain strict-feedback nonlinear systems with unknown Duhem hysteresis input is investigated. In order to handle the undesirable effects caused by
unknown hysteresis, the properties in respect to Duhem model are used to decompose it as a nonlinear smooth term and a nonlinear bounded “disturbance-like” term, which makes it possible to deal with the unknown hysteresis without constructing inverse in the controller design. By combining robust control and dynamic surface control technique, an adaptive controller is proposed in this paper to avoid “the explosion complexity” in the standard backstepping design procedure. The negative effects caused by the unknown hysteresis can be mitigated effectively, and the semiglobal uniform
ultimate boundedness of all the signals in the closed-loop system is obtained. The effectiveness of the proposed scheme is validated through a simulation example. |
| format | Article |
| id | doaj-art-61c0e4ea97a1425ea7786455d768b4cb |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-61c0e4ea97a1425ea7786455d768b4cb2025-02-03T01:09:31ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/640249640249Robust Adaptive Dynamic Surface Control for a Class of Nonlinear Dynamical Systems with Unknown HysteresisYong-Hua Liu0Ying Feng1Xinkai Chen2The Key Laboratory of Autonomous System and Network Control, Ministry of Education, ChinaThe Key Laboratory of Autonomous System and Network Control, Ministry of Education, ChinaThe Department of Electronic and Information Systems, Shibaura Institute of Technology, 307 Fukasaku, Minuma-ku, Saitama, Saitama 337-8570, JapanThe output tracking problem for a class of uncertain strict-feedback nonlinear systems with unknown Duhem hysteresis input is investigated. In order to handle the undesirable effects caused by unknown hysteresis, the properties in respect to Duhem model are used to decompose it as a nonlinear smooth term and a nonlinear bounded “disturbance-like” term, which makes it possible to deal with the unknown hysteresis without constructing inverse in the controller design. By combining robust control and dynamic surface control technique, an adaptive controller is proposed in this paper to avoid “the explosion complexity” in the standard backstepping design procedure. The negative effects caused by the unknown hysteresis can be mitigated effectively, and the semiglobal uniform ultimate boundedness of all the signals in the closed-loop system is obtained. The effectiveness of the proposed scheme is validated through a simulation example.http://dx.doi.org/10.1155/2014/640249 |
| spellingShingle | Yong-Hua Liu Ying Feng Xinkai Chen Robust Adaptive Dynamic Surface Control for a Class of Nonlinear Dynamical Systems with Unknown Hysteresis Abstract and Applied Analysis |
| title | Robust Adaptive Dynamic Surface Control for a Class of Nonlinear Dynamical Systems with Unknown Hysteresis |
| title_full | Robust Adaptive Dynamic Surface Control for a Class of Nonlinear Dynamical Systems with Unknown Hysteresis |
| title_fullStr | Robust Adaptive Dynamic Surface Control for a Class of Nonlinear Dynamical Systems with Unknown Hysteresis |
| title_full_unstemmed | Robust Adaptive Dynamic Surface Control for a Class of Nonlinear Dynamical Systems with Unknown Hysteresis |
| title_short | Robust Adaptive Dynamic Surface Control for a Class of Nonlinear Dynamical Systems with Unknown Hysteresis |
| title_sort | robust adaptive dynamic surface control for a class of nonlinear dynamical systems with unknown hysteresis |
| url | http://dx.doi.org/10.1155/2014/640249 |
| work_keys_str_mv | AT yonghualiu robustadaptivedynamicsurfacecontrolforaclassofnonlineardynamicalsystemswithunknownhysteresis AT yingfeng robustadaptivedynamicsurfacecontrolforaclassofnonlineardynamicalsystemswithunknownhysteresis AT xinkaichen robustadaptivedynamicsurfacecontrolforaclassofnonlineardynamicalsystemswithunknownhysteresis |