Robust Adaptive Switching Control for Markovian Jump Nonlinear Systems via Backstepping Technique
This paper investigates robust adaptive switching controller design for Markovian jump nonlinear systems with unmodeled dynamics and Wiener noise. The concerned system is of strict-feedback form, and the statistics information of noise is unknown due to practical limitation. With the ordinary input-...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/514504 |
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| _version_ | 1832558527155011584 |
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| author | Jin Zhu Hongsheng Xi Qiang Ling Wanqing Xie |
| author_facet | Jin Zhu Hongsheng Xi Qiang Ling Wanqing Xie |
| author_sort | Jin Zhu |
| collection | DOAJ |
| description | This paper investigates robust adaptive switching controller
design for Markovian jump nonlinear systems with unmodeled
dynamics and Wiener noise. The concerned system is of
strict-feedback form, and the statistics information of noise is
unknown due to practical limitation. With the ordinary
input-to-state stability (ISS) extended to jump case, stochastic
Lyapunov stability criterion is proposed. By using backstepping
technique and stochastic small-gain theorem, a switching
controller is designed such that stochastic stability is ensured.
Also system states will converge to an attractive region whose
radius can be made as small as possible with appropriate control
parameters chosen. A simulation example illustrates the validity
of this method. |
| format | Article |
| id | doaj-art-54a5fdd811844c3bbf01fc624ec15395 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-54a5fdd811844c3bbf01fc624ec153952025-02-03T01:32:13ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/514504514504Robust Adaptive Switching Control for Markovian Jump Nonlinear Systems via Backstepping TechniqueJin Zhu0Hongsheng Xi1Qiang Ling2Wanqing Xie3Department of Automation, University of Science and Technology of China, Hefei, Anhui 230027, ChinaDepartment of Automation, University of Science and Technology of China, Hefei, Anhui 230027, ChinaDepartment of Automation, University of Science and Technology of China, Hefei, Anhui 230027, ChinaCenter of Information Science Experiment and Education, University of Science and Technology of China, ChinaThis paper investigates robust adaptive switching controller design for Markovian jump nonlinear systems with unmodeled dynamics and Wiener noise. The concerned system is of strict-feedback form, and the statistics information of noise is unknown due to practical limitation. With the ordinary input-to-state stability (ISS) extended to jump case, stochastic Lyapunov stability criterion is proposed. By using backstepping technique and stochastic small-gain theorem, a switching controller is designed such that stochastic stability is ensured. Also system states will converge to an attractive region whose radius can be made as small as possible with appropriate control parameters chosen. A simulation example illustrates the validity of this method.http://dx.doi.org/10.1155/2012/514504 |
| spellingShingle | Jin Zhu Hongsheng Xi Qiang Ling Wanqing Xie Robust Adaptive Switching Control for Markovian Jump Nonlinear Systems via Backstepping Technique Journal of Applied Mathematics |
| title | Robust Adaptive Switching Control for Markovian Jump Nonlinear
Systems via Backstepping Technique |
| title_full | Robust Adaptive Switching Control for Markovian Jump Nonlinear
Systems via Backstepping Technique |
| title_fullStr | Robust Adaptive Switching Control for Markovian Jump Nonlinear
Systems via Backstepping Technique |
| title_full_unstemmed | Robust Adaptive Switching Control for Markovian Jump Nonlinear
Systems via Backstepping Technique |
| title_short | Robust Adaptive Switching Control for Markovian Jump Nonlinear
Systems via Backstepping Technique |
| title_sort | robust adaptive switching control for markovian jump nonlinear systems via backstepping technique |
| url | http://dx.doi.org/10.1155/2012/514504 |
| work_keys_str_mv | AT jinzhu robustadaptiveswitchingcontrolformarkovianjumpnonlinearsystemsviabacksteppingtechnique AT hongshengxi robustadaptiveswitchingcontrolformarkovianjumpnonlinearsystemsviabacksteppingtechnique AT qiangling robustadaptiveswitchingcontrolformarkovianjumpnonlinearsystemsviabacksteppingtechnique AT wanqingxie robustadaptiveswitchingcontrolformarkovianjumpnonlinearsystemsviabacksteppingtechnique |