Adaptive Exponential Stabilization for a Class of Stochastic Nonholonomic Systems
This paper investigates the adaptive stabilization problem for a class of stochastic nonholonomic systems with strong drifts. By using input-state-scaling technique, backstepping recursive approach, and a parameter separation technique, we design an adaptive state feedback controller. Based on the s...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/658050 |
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| _version_ | 1832563526525255680 |
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| author | Xiaoyan Qin |
| author_facet | Xiaoyan Qin |
| author_sort | Xiaoyan Qin |
| collection | DOAJ |
| description | This paper investigates the adaptive stabilization problem for a class of stochastic nonholonomic systems with strong drifts. By using input-state-scaling technique, backstepping recursive approach, and a parameter separation technique, we design an adaptive state feedback controller. Based on the switching strategy to eliminate the phenomenon of uncontrollability, the proposed controller can guarantee that the states of closed-loop system are global bounded in probability. |
| format | Article |
| id | doaj-art-dfa45ac22b2d42cbad4c1aaad137731b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-dfa45ac22b2d42cbad4c1aaad137731b2025-02-03T01:20:05ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/658050658050Adaptive Exponential Stabilization for a Class of Stochastic Nonholonomic SystemsXiaoyan Qin0College of Mathematics and Statistics, Zaozhuang University, Zaozhuang 277160, ChinaThis paper investigates the adaptive stabilization problem for a class of stochastic nonholonomic systems with strong drifts. By using input-state-scaling technique, backstepping recursive approach, and a parameter separation technique, we design an adaptive state feedback controller. Based on the switching strategy to eliminate the phenomenon of uncontrollability, the proposed controller can guarantee that the states of closed-loop system are global bounded in probability.http://dx.doi.org/10.1155/2013/658050 |
| spellingShingle | Xiaoyan Qin Adaptive Exponential Stabilization for a Class of Stochastic Nonholonomic Systems Abstract and Applied Analysis |
| title | Adaptive Exponential Stabilization for a Class of Stochastic Nonholonomic Systems |
| title_full | Adaptive Exponential Stabilization for a Class of Stochastic Nonholonomic Systems |
| title_fullStr | Adaptive Exponential Stabilization for a Class of Stochastic Nonholonomic Systems |
| title_full_unstemmed | Adaptive Exponential Stabilization for a Class of Stochastic Nonholonomic Systems |
| title_short | Adaptive Exponential Stabilization for a Class of Stochastic Nonholonomic Systems |
| title_sort | adaptive exponential stabilization for a class of stochastic nonholonomic systems |
| url | http://dx.doi.org/10.1155/2013/658050 |
| work_keys_str_mv | AT xiaoyanqin adaptiveexponentialstabilizationforaclassofstochasticnonholonomicsystems |