Optimal Pole Assignment of Linear Systems by the Sylvester Matrix Equations
The problem of state feedback optimal pole assignment is to design a feedback gain such that the closed-loop system has desired eigenvalues and such that certain quadratic performance index is minimized. Optimal pole assignment controller can guarantee both good dynamic response and well robustness...
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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/10.1155/2014/301375 |
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| _version_ | 1849692558540668928 |
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| author | Hua-Feng He Guang-Bin Cai Xiao-Jun Han |
| author_facet | Hua-Feng He Guang-Bin Cai Xiao-Jun Han |
| author_sort | Hua-Feng He |
| collection | DOAJ |
| description | The problem of state feedback optimal pole assignment is to design a feedback gain such that the closed-loop system has desired eigenvalues and such that certain quadratic performance index is minimized. Optimal pole assignment controller can guarantee both good dynamic response and well robustness properties of the closed-loop system. With the help of a
class of linear matrix equations, necessary and sufficient conditions for the existence of a solution to the optimal pole assignment problem are proposed in this paper. By properly choosing the free parameters in the parametric solutions to this class of linear matrix equations, complete solutions to the optimal pole assignment problem can be obtained. A numerical example is used to illustrate the effectiveness of the proposed approach. |
| format | Article |
| id | doaj-art-e9fc17388eef41c78ee7fc47966ee082 |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e9fc17388eef41c78ee7fc47966ee0822025-08-20T03:20:40ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/301375301375Optimal Pole Assignment of Linear Systems by the Sylvester Matrix EquationsHua-Feng He0Guang-Bin Cai1Xiao-Jun Han2Unit 302, Department of Automation, Xi’an Institute of High-Tech, Xi’an, Shaanxi 710025, ChinaUnit 302, Department of Automation, Xi’an Institute of High-Tech, Xi’an, Shaanxi 710025, ChinaBeijing City, Haidian District, Qinghe Building D7, Beijing 100085, ChinaThe problem of state feedback optimal pole assignment is to design a feedback gain such that the closed-loop system has desired eigenvalues and such that certain quadratic performance index is minimized. Optimal pole assignment controller can guarantee both good dynamic response and well robustness properties of the closed-loop system. With the help of a class of linear matrix equations, necessary and sufficient conditions for the existence of a solution to the optimal pole assignment problem are proposed in this paper. By properly choosing the free parameters in the parametric solutions to this class of linear matrix equations, complete solutions to the optimal pole assignment problem can be obtained. A numerical example is used to illustrate the effectiveness of the proposed approach.http://dx.doi.org/10.1155/2014/301375 |
| spellingShingle | Hua-Feng He Guang-Bin Cai Xiao-Jun Han Optimal Pole Assignment of Linear Systems by the Sylvester Matrix Equations Abstract and Applied Analysis |
| title | Optimal Pole Assignment of Linear Systems by the Sylvester Matrix Equations |
| title_full | Optimal Pole Assignment of Linear Systems by the Sylvester Matrix Equations |
| title_fullStr | Optimal Pole Assignment of Linear Systems by the Sylvester Matrix Equations |
| title_full_unstemmed | Optimal Pole Assignment of Linear Systems by the Sylvester Matrix Equations |
| title_short | Optimal Pole Assignment of Linear Systems by the Sylvester Matrix Equations |
| title_sort | optimal pole assignment of linear systems by the sylvester matrix equations |
| url | http://dx.doi.org/10.1155/2014/301375 |
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