Singular Value Decomposition-Based Method for Sliding Mode Control and Optimization of Nonlinear Neutral Systems
The sliding mode control and optimization are investigated for a class of nonlinear neutral systems with the unmatched nonlinear term. In the framework of Lyapunov stability theory, the existence conditions for the designed sliding surface and the stability bound α∗ are derived via twice transformat...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/357531 |
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| _version_ | 1832567225566887936 |
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| author | Heli Hu Dan Zhao Qingling Zhang |
| author_facet | Heli Hu Dan Zhao Qingling Zhang |
| author_sort | Heli Hu |
| collection | DOAJ |
| description | The sliding mode control and optimization are investigated for a class of nonlinear
neutral systems with the unmatched nonlinear term. In the framework of Lyapunov stability theory,
the existence conditions for the designed sliding surface and the stability bound α∗ are derived via
twice transformations. The further results are to develop an efficient sliding mode control law with
tuned parameters to attract the state trajectories onto the sliding surface in finite time and remain
there for all the subsequent time. Finally, some comparisons are made to show the advantages of our
proposed method. |
| format | Article |
| id | doaj-art-3d8495bd5f4344b5a22b7649f601f8f9 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-3d8495bd5f4344b5a22b7649f601f8f92025-02-03T01:01:58ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/357531357531Singular Value Decomposition-Based Method for Sliding Mode Control and Optimization of Nonlinear Neutral SystemsHeli Hu0Dan Zhao1Qingling Zhang2Key Laboratory of Manufacturing Industrial Integrated Automation, Shenyang University, Shenyang 110044, ChinaDepartment of Fundamental Teaching, Shenyang Institute of Engineering, Shenyang 110136, ChinaInstitute of Systems Science, Northeastern University, Shenyang, Liaoning 110004, ChinaThe sliding mode control and optimization are investigated for a class of nonlinear neutral systems with the unmatched nonlinear term. In the framework of Lyapunov stability theory, the existence conditions for the designed sliding surface and the stability bound α∗ are derived via twice transformations. The further results are to develop an efficient sliding mode control law with tuned parameters to attract the state trajectories onto the sliding surface in finite time and remain there for all the subsequent time. Finally, some comparisons are made to show the advantages of our proposed method.http://dx.doi.org/10.1155/2013/357531 |
| spellingShingle | Heli Hu Dan Zhao Qingling Zhang Singular Value Decomposition-Based Method for Sliding Mode Control and Optimization of Nonlinear Neutral Systems Journal of Applied Mathematics |
| title | Singular Value Decomposition-Based Method for Sliding Mode Control and Optimization of Nonlinear Neutral Systems |
| title_full | Singular Value Decomposition-Based Method for Sliding Mode Control and Optimization of Nonlinear Neutral Systems |
| title_fullStr | Singular Value Decomposition-Based Method for Sliding Mode Control and Optimization of Nonlinear Neutral Systems |
| title_full_unstemmed | Singular Value Decomposition-Based Method for Sliding Mode Control and Optimization of Nonlinear Neutral Systems |
| title_short | Singular Value Decomposition-Based Method for Sliding Mode Control and Optimization of Nonlinear Neutral Systems |
| title_sort | singular value decomposition based method for sliding mode control and optimization of nonlinear neutral systems |
| url | http://dx.doi.org/10.1155/2013/357531 |
| work_keys_str_mv | AT helihu singularvaluedecompositionbasedmethodforslidingmodecontrolandoptimizationofnonlinearneutralsystems AT danzhao singularvaluedecompositionbasedmethodforslidingmodecontrolandoptimizationofnonlinearneutralsystems AT qinglingzhang singularvaluedecompositionbasedmethodforslidingmodecontrolandoptimizationofnonlinearneutralsystems |