Output-Feedback and Inverse Optimal Control of a Class of Stochastic Nonlinear Systems with More General Growth Conditions
This paper investigates the problem of output-feedback stabilization for a class of stochastic nonlinear systems in which the nonlinear terms depend on unmeasurable states besides measurable output. We extend linear growth conditions to power growth conditions and reduce the control effort. By using...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/251340 |
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| _version_ | 1832567905110196224 |
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| author | Liu Jianwei Guo Longchuan Zuo Xin Liang Huaqing |
| author_facet | Liu Jianwei Guo Longchuan Zuo Xin Liang Huaqing |
| author_sort | Liu Jianwei |
| collection | DOAJ |
| description | This paper investigates the problem of output-feedback stabilization for a class of stochastic nonlinear systems in which the nonlinear terms depend on unmeasurable states besides measurable output. We extend linear growth conditions to power growth conditions and reduce the control effort. By using backstepping technique, choosing a high-gain parameter, an output-feedback controller is designed to ensure the closed-loop system to be globally asymptotically stable in probability, and the inverse optimal stabilization in probability is achieved. The efficiency of the output-feedback controller is demonstrated by a simulation example. |
| format | Article |
| id | doaj-art-e929f9c53dce454c914e8c7884c86784 |
| 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-e929f9c53dce454c914e8c7884c867842025-02-03T01:00:24ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/251340251340Output-Feedback and Inverse Optimal Control of a Class of Stochastic Nonlinear Systems with More General Growth ConditionsLiu Jianwei0Guo Longchuan1Zuo Xin2Liang Huaqing3Department of Automation, China University of Petroleum, Beijing 102249, ChinaDepartment of Automation, China University of Petroleum, Beijing 102249, ChinaDepartment of Automation, China University of Petroleum, Beijing 102249, ChinaDepartment of Automation, China University of Petroleum, Beijing 102249, ChinaThis paper investigates the problem of output-feedback stabilization for a class of stochastic nonlinear systems in which the nonlinear terms depend on unmeasurable states besides measurable output. We extend linear growth conditions to power growth conditions and reduce the control effort. By using backstepping technique, choosing a high-gain parameter, an output-feedback controller is designed to ensure the closed-loop system to be globally asymptotically stable in probability, and the inverse optimal stabilization in probability is achieved. The efficiency of the output-feedback controller is demonstrated by a simulation example.http://dx.doi.org/10.1155/2013/251340 |
| spellingShingle | Liu Jianwei Guo Longchuan Zuo Xin Liang Huaqing Output-Feedback and Inverse Optimal Control of a Class of Stochastic Nonlinear Systems with More General Growth Conditions Journal of Applied Mathematics |
| title | Output-Feedback and Inverse Optimal Control of a Class of Stochastic Nonlinear Systems with More General Growth Conditions |
| title_full | Output-Feedback and Inverse Optimal Control of a Class of Stochastic Nonlinear Systems with More General Growth Conditions |
| title_fullStr | Output-Feedback and Inverse Optimal Control of a Class of Stochastic Nonlinear Systems with More General Growth Conditions |
| title_full_unstemmed | Output-Feedback and Inverse Optimal Control of a Class of Stochastic Nonlinear Systems with More General Growth Conditions |
| title_short | Output-Feedback and Inverse Optimal Control of a Class of Stochastic Nonlinear Systems with More General Growth Conditions |
| title_sort | output feedback and inverse optimal control of a class of stochastic nonlinear systems with more general growth conditions |
| url | http://dx.doi.org/10.1155/2013/251340 |
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