Robust adaptive tracking for Markovian jump nonlinear systems with unknown nonlinearities
Robust adaptive tracking problems for a class of Markovian jump parametric-strict-feed-back systems with both parametric uncertainty and unknown nonlinearity are investigated. The unknown nonlinearities considered herein lie within some “bounding functions,” which are assumed to be partially known....
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/DDNS/2006/92932 |
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| _version_ | 1832554350569848832 |
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| author | Jin Zhu Hong-Sheng Xi Hai-Bo Ji Bing Wang |
| author_facet | Jin Zhu Hong-Sheng Xi Hai-Bo Ji Bing Wang |
| author_sort | Jin Zhu |
| collection | DOAJ |
| description | Robust adaptive tracking problems for a class of Markovian jump parametric-strict-feed-back systems with both parametric uncertainty and unknown nonlinearity are investigated. The unknown nonlinearities considered herein lie within some “bounding functions,” which are assumed to be partially known. By using a stochastic Lyapunov method and backstepping techniques, a parameter adaptive law and a control law were obtained, which guarantee that the tracking error could be within a small neighborhood around the origin in the sense of the fourth moment. Moreover, all signals of the closed-loop system could be globally uniformly ultimately bounded. |
| format | Article |
| id | doaj-art-4941251f8973416fb3eabc9e831796b9 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-4941251f8973416fb3eabc9e831796b92025-02-03T05:51:40ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2006-01-01200610.1155/DDNS/2006/9293292932Robust adaptive tracking for Markovian jump nonlinear systems with unknown nonlinearitiesJin Zhu0Hong-Sheng Xi1Hai-Bo Ji2Bing Wang3Department of Automation, University of Science and Technology of China (USTC), Hefei, Anhui 230027, ChinaDepartment of Automation, University of Science and Technology of China (USTC), Hefei, Anhui 230027, ChinaDepartment of Automation, University of Science and Technology of China (USTC), Hefei, Anhui 230027, ChinaDepartment of Automation, University of Science and Technology of China (USTC), Hefei, Anhui 230027, ChinaRobust adaptive tracking problems for a class of Markovian jump parametric-strict-feed-back systems with both parametric uncertainty and unknown nonlinearity are investigated. The unknown nonlinearities considered herein lie within some “bounding functions,” which are assumed to be partially known. By using a stochastic Lyapunov method and backstepping techniques, a parameter adaptive law and a control law were obtained, which guarantee that the tracking error could be within a small neighborhood around the origin in the sense of the fourth moment. Moreover, all signals of the closed-loop system could be globally uniformly ultimately bounded.http://dx.doi.org/10.1155/DDNS/2006/92932 |
| spellingShingle | Jin Zhu Hong-Sheng Xi Hai-Bo Ji Bing Wang Robust adaptive tracking for Markovian jump nonlinear systems with unknown nonlinearities Discrete Dynamics in Nature and Society |
| title | Robust adaptive tracking for Markovian jump nonlinear systems with unknown nonlinearities |
| title_full | Robust adaptive tracking for Markovian jump nonlinear systems with unknown nonlinearities |
| title_fullStr | Robust adaptive tracking for Markovian jump nonlinear systems with unknown nonlinearities |
| title_full_unstemmed | Robust adaptive tracking for Markovian jump nonlinear systems with unknown nonlinearities |
| title_short | Robust adaptive tracking for Markovian jump nonlinear systems with unknown nonlinearities |
| title_sort | robust adaptive tracking for markovian jump nonlinear systems with unknown nonlinearities |
| url | http://dx.doi.org/10.1155/DDNS/2006/92932 |
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