Control of Discrete-Time Singularly Perturbed Systems via Static Output Feedback
This paper concentrates on control problems of discrete-time singularly perturbed systems via static output feedback. Two methods of designing an controller, which ensures that the resulting closed-loop system is asymptotically stable and meets a prescribed norm bound, are presented in terms of L...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/528695 |
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| _version_ | 1832550287219359744 |
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| author | Dan Liu Lei Liu Ying Yang |
| author_facet | Dan Liu Lei Liu Ying Yang |
| author_sort | Dan Liu |
| collection | DOAJ |
| description | This paper concentrates on control problems of discrete-time singularly perturbed systems via
static output feedback. Two methods of designing an controller, which ensures that the resulting closed-loop
system is asymptotically stable and meets a prescribed norm bound, are presented in terms of LMIs. Though
based on the same matrix transformation, the two approaches are turned into different optimal problems. The
first result is given by an -independent LMI, while the second result is related to . Furthermore, a stability upper
bound of the singular perturbation parameter is obtained. The validity of the proposed two results is demonstrated
by a numerical example. |
| format | Article |
| id | doaj-art-853dfba3691c4d0488eca477a34d1fb1 |
| 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-853dfba3691c4d0488eca477a34d1fb12025-02-03T06:07:11ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/528695528695Control of Discrete-Time Singularly Perturbed Systems via Static Output FeedbackDan Liu0Lei Liu1Ying Yang2State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing 100871, ChinaState Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing 100871, ChinaState Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing 100871, ChinaThis paper concentrates on control problems of discrete-time singularly perturbed systems via static output feedback. Two methods of designing an controller, which ensures that the resulting closed-loop system is asymptotically stable and meets a prescribed norm bound, are presented in terms of LMIs. Though based on the same matrix transformation, the two approaches are turned into different optimal problems. The first result is given by an -independent LMI, while the second result is related to . Furthermore, a stability upper bound of the singular perturbation parameter is obtained. The validity of the proposed two results is demonstrated by a numerical example.http://dx.doi.org/10.1155/2013/528695 |
| spellingShingle | Dan Liu Lei Liu Ying Yang Control of Discrete-Time Singularly Perturbed Systems via Static Output Feedback Abstract and Applied Analysis |
| title | Control of Discrete-Time Singularly Perturbed Systems via Static Output Feedback |
| title_full | Control of Discrete-Time Singularly Perturbed Systems via Static Output Feedback |
| title_fullStr | Control of Discrete-Time Singularly Perturbed Systems via Static Output Feedback |
| title_full_unstemmed | Control of Discrete-Time Singularly Perturbed Systems via Static Output Feedback |
| title_short | Control of Discrete-Time Singularly Perturbed Systems via Static Output Feedback |
| title_sort | control of discrete time singularly perturbed systems via static output feedback |
| url | http://dx.doi.org/10.1155/2013/528695 |
| work_keys_str_mv | AT danliu controlofdiscretetimesingularlyperturbedsystemsviastaticoutputfeedback AT leiliu controlofdiscretetimesingularlyperturbedsystemsviastaticoutputfeedback AT yingyang controlofdiscretetimesingularlyperturbedsystemsviastaticoutputfeedback |