Stabilization with Internal Loop for Infinite-Dimensional Discrete Time-Varying Systems
The concepts of stabilization with internal loop are analyzed for well-posed transfer functions. We obtain some sufficient and necessary conditions such that a stabilizing controller with internal loop stabilizes plant L. We also analyze two special subclasses of stabilizing controllers with interna...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/159198 |
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| _version_ | 1832556771525263360 |
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| author | Nai-feng Gan Yu-feng LU Ting Gong |
| author_facet | Nai-feng Gan Yu-feng LU Ting Gong |
| author_sort | Nai-feng Gan |
| collection | DOAJ |
| description | The concepts of stabilization with internal loop are analyzed for well-posed transfer functions. We obtain some sufficient and necessary conditions such that a stabilizing controller with internal loop stabilizes plant L. We also analyze two special subclasses of stabilizing controllers with internal loop, called canonical and dual canonical controllers, and show that all stabilizing controllers can be parameterized by a doubly coprime factorization of the original transfer function. |
| format | Article |
| id | doaj-art-b55abb2f5e2f4f1db8d0e1d0cda70860 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-b55abb2f5e2f4f1db8d0e1d0cda708602025-02-03T05:44:26ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/159198159198Stabilization with Internal Loop for Infinite-Dimensional Discrete Time-Varying SystemsNai-feng Gan0Yu-feng LU1Ting Gong2School of Mathematical Sciences, Dalian University of Technology, Dalian 116027, ChinaSchool of Mathematical Sciences, Dalian University of Technology, Dalian 116027, ChinaSchool of Mathematical Sciences, Dalian University of Technology, Dalian 116027, ChinaThe concepts of stabilization with internal loop are analyzed for well-posed transfer functions. We obtain some sufficient and necessary conditions such that a stabilizing controller with internal loop stabilizes plant L. We also analyze two special subclasses of stabilizing controllers with internal loop, called canonical and dual canonical controllers, and show that all stabilizing controllers can be parameterized by a doubly coprime factorization of the original transfer function.http://dx.doi.org/10.1155/2014/159198 |
| spellingShingle | Nai-feng Gan Yu-feng LU Ting Gong Stabilization with Internal Loop for Infinite-Dimensional Discrete Time-Varying Systems Discrete Dynamics in Nature and Society |
| title | Stabilization with Internal Loop for Infinite-Dimensional Discrete Time-Varying Systems |
| title_full | Stabilization with Internal Loop for Infinite-Dimensional Discrete Time-Varying Systems |
| title_fullStr | Stabilization with Internal Loop for Infinite-Dimensional Discrete Time-Varying Systems |
| title_full_unstemmed | Stabilization with Internal Loop for Infinite-Dimensional Discrete Time-Varying Systems |
| title_short | Stabilization with Internal Loop for Infinite-Dimensional Discrete Time-Varying Systems |
| title_sort | stabilization with internal loop for infinite dimensional discrete time varying systems |
| url | http://dx.doi.org/10.1155/2014/159198 |
| work_keys_str_mv | AT naifenggan stabilizationwithinternalloopforinfinitedimensionaldiscretetimevaryingsystems AT yufenglu stabilizationwithinternalloopforinfinitedimensionaldiscretetimevaryingsystems AT tinggong stabilizationwithinternalloopforinfinitedimensionaldiscretetimevaryingsystems |