Memory State-Feedback Stabilization for a Class of Time-Delay Systems with a Type of Adaptive Strategy
Stabilization of a class of systems with time delay is studied using adaptive control. With the help of the “error to error” technique and the separated “descriptor form” technique, the memory state-feedback controller is designed. The adaptive controller designed can guarantee asymptotical stabilit...
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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/10.1155/2013/319415 |
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| _version_ | 1832548115538771968 |
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| author | Lin Chai Shumin Fei |
| author_facet | Lin Chai Shumin Fei |
| author_sort | Lin Chai |
| collection | DOAJ |
| description | Stabilization of a class of systems with time delay is studied using adaptive control. With the help of the “error to error” technique and the separated “descriptor form” technique, the memory state-feedback controller is designed. The adaptive controller designed can guarantee asymptotical stability of the closed-loop system via a suitable Lyapunov-Krasovskii functional. Some sufficient conditions are derived for the stabilization together with the linear matrix inequality (LMI) design approach. Finally, the effectiveness of the proposed control design methodology is demonstrated in numerical simulations. |
| format | Article |
| id | doaj-art-510a53021c624687ad255b18c3b99544 |
| 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-510a53021c624687ad255b18c3b995442025-02-03T06:42:14ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/319415319415Memory State-Feedback Stabilization for a Class of Time-Delay Systems with a Type of Adaptive StrategyLin Chai0Shumin Fei1Key Laboratory of Measurement and Control of Complex Systems of Engineering, Southeast University, Nanjing 210096, ChinaKey Laboratory of Measurement and Control of Complex Systems of Engineering, Southeast University, Nanjing 210096, ChinaStabilization of a class of systems with time delay is studied using adaptive control. With the help of the “error to error” technique and the separated “descriptor form” technique, the memory state-feedback controller is designed. The adaptive controller designed can guarantee asymptotical stability of the closed-loop system via a suitable Lyapunov-Krasovskii functional. Some sufficient conditions are derived for the stabilization together with the linear matrix inequality (LMI) design approach. Finally, the effectiveness of the proposed control design methodology is demonstrated in numerical simulations.http://dx.doi.org/10.1155/2013/319415 |
| spellingShingle | Lin Chai Shumin Fei Memory State-Feedback Stabilization for a Class of Time-Delay Systems with a Type of Adaptive Strategy Journal of Applied Mathematics |
| title | Memory State-Feedback Stabilization for a Class of Time-Delay Systems with a Type of Adaptive Strategy |
| title_full | Memory State-Feedback Stabilization for a Class of Time-Delay Systems with a Type of Adaptive Strategy |
| title_fullStr | Memory State-Feedback Stabilization for a Class of Time-Delay Systems with a Type of Adaptive Strategy |
| title_full_unstemmed | Memory State-Feedback Stabilization for a Class of Time-Delay Systems with a Type of Adaptive Strategy |
| title_short | Memory State-Feedback Stabilization for a Class of Time-Delay Systems with a Type of Adaptive Strategy |
| title_sort | memory state feedback stabilization for a class of time delay systems with a type of adaptive strategy |
| url | http://dx.doi.org/10.1155/2013/319415 |
| work_keys_str_mv | AT linchai memorystatefeedbackstabilizationforaclassoftimedelaysystemswithatypeofadaptivestrategy AT shuminfei memorystatefeedbackstabilizationforaclassoftimedelaysystemswithatypeofadaptivestrategy |