General Output Feedback Stabilization for Fractional Order Systems: An LMI Approach
This paper is concerned with the problem of general output feedback stabilization for fractional order linear time-invariant (FO-LTI) systems with the fractional commensurate order 0<α<2. The objective is to design suitable output feedback controllers that guarantee the stability of the result...
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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: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/737495 |
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| _version_ | 1832551902653448192 |
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| author | Yiheng Wei Hamid Reza Karimi Shu Liang Qing Gao Yong Wang |
| author_facet | Yiheng Wei Hamid Reza Karimi Shu Liang Qing Gao Yong Wang |
| author_sort | Yiheng Wei |
| collection | DOAJ |
| description | This paper is concerned with the problem of general output feedback stabilization for fractional order linear time-invariant (FO-LTI) systems with the fractional commensurate order 0<α<2. The objective is to design suitable output feedback controllers that guarantee the stability of the resulting closed-loop systems. Based on the slack variable method and our previous stability criteria, some new results in the form of linear matrix inequality (LMI) are developed to the static and dynamic output feedback controllers synthesis for the FO-LTI system with 0<α<1. Furthermore, the results are extended to stabilize the FO-LTI systems with 1≤α<2. Finally, robust output feedback control is discussed. Numerical examples are given to illustrate the effectiveness of the proposed design methods. |
| format | Article |
| id | doaj-art-c35ba24bea9f4cfe846814555b2b2ee3 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c35ba24bea9f4cfe846814555b2b2ee32025-02-03T06:00:16ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/737495737495General Output Feedback Stabilization for Fractional Order Systems: An LMI ApproachYiheng Wei0Hamid Reza Karimi1Shu Liang2Qing Gao3Yong Wang4Department of Automation, University of Science and Technology of China, Hefei 230027, ChinaDepartment of Engineering, Faculty of Engineering and Science, University of Agder, 4898 Grimstad, NorwayDepartment of Automation, University of Science and Technology of China, Hefei 230027, ChinaDepartment of Automation, University of Science and Technology of China, Hefei 230027, ChinaDepartment of Automation, University of Science and Technology of China, Hefei 230027, ChinaThis paper is concerned with the problem of general output feedback stabilization for fractional order linear time-invariant (FO-LTI) systems with the fractional commensurate order 0<α<2. The objective is to design suitable output feedback controllers that guarantee the stability of the resulting closed-loop systems. Based on the slack variable method and our previous stability criteria, some new results in the form of linear matrix inequality (LMI) are developed to the static and dynamic output feedback controllers synthesis for the FO-LTI system with 0<α<1. Furthermore, the results are extended to stabilize the FO-LTI systems with 1≤α<2. Finally, robust output feedback control is discussed. Numerical examples are given to illustrate the effectiveness of the proposed design methods.http://dx.doi.org/10.1155/2014/737495 |
| spellingShingle | Yiheng Wei Hamid Reza Karimi Shu Liang Qing Gao Yong Wang General Output Feedback Stabilization for Fractional Order Systems: An LMI Approach Abstract and Applied Analysis |
| title | General Output Feedback Stabilization for Fractional Order Systems: An LMI Approach |
| title_full | General Output Feedback Stabilization for Fractional Order Systems: An LMI Approach |
| title_fullStr | General Output Feedback Stabilization for Fractional Order Systems: An LMI Approach |
| title_full_unstemmed | General Output Feedback Stabilization for Fractional Order Systems: An LMI Approach |
| title_short | General Output Feedback Stabilization for Fractional Order Systems: An LMI Approach |
| title_sort | general output feedback stabilization for fractional order systems an lmi approach |
| url | http://dx.doi.org/10.1155/2014/737495 |
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