Localization of Eigenvalues in Small Specified Regions of Complex Plane by State Feedback Matrix
This paper is concerned with the problem of designing discrete-time control systems with closed-loop eigenvalues in a prescribed region of stability. First, we obtain a state feedback matrix which assigns all the eigenvalues to zero, and then by elementary similarity operations we find a state feedb...
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| Format: | Article |
| Language: | English |
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University of Tehran
2014-06-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
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| Online Access: | https://jsciences.ut.ac.ir/article_51470_8480cd810114a5df96ffd4df3adbd679.pdf |
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| author | H. Ahsani Tehrani |
| author_facet | H. Ahsani Tehrani |
| author_sort | H. Ahsani Tehrani |
| collection | DOAJ |
| description | This paper is concerned with the problem of designing discrete-time control systems with closed-loop eigenvalues in a prescribed region of stability. First, we obtain a state feedback matrix which assigns all the eigenvalues to zero, and then by elementary similarity operations we find a state feedback which assigns the eigenvalues inside a circle with center and radius. This new algorithm can also be used for the placement of closed-loop eigenvalues in a specified disc in z-plane for discrete-time linear systems. Some illustrative examples are presented to show the advantages of this new technique. |
| format | Article |
| id | doaj-art-b43f254daeae487b88b6bb85d76644b2 |
| institution | OA Journals |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 2014-06-01 |
| publisher | University of Tehran |
| record_format | Article |
| series | Journal of Sciences, Islamic Republic of Iran |
| spelling | doaj-art-b43f254daeae487b88b6bb85d76644b22025-08-20T02:25:54ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69142014-06-0125215716451470Localization of Eigenvalues in Small Specified Regions of Complex Plane by State Feedback MatrixH. Ahsani Tehrani0Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahrood University, Shahrood, Islamic Republic of IranThis paper is concerned with the problem of designing discrete-time control systems with closed-loop eigenvalues in a prescribed region of stability. First, we obtain a state feedback matrix which assigns all the eigenvalues to zero, and then by elementary similarity operations we find a state feedback which assigns the eigenvalues inside a circle with center and radius. This new algorithm can also be used for the placement of closed-loop eigenvalues in a specified disc in z-plane for discrete-time linear systems. Some illustrative examples are presented to show the advantages of this new technique.https://jsciences.ut.ac.ir/article_51470_8480cd810114a5df96ffd4df3adbd679.pdfdiscrete-time systemsstate feedback matrixlocalization of eigenvaluesdiscclosed-loop system |
| spellingShingle | H. Ahsani Tehrani Localization of Eigenvalues in Small Specified Regions of Complex Plane by State Feedback Matrix Journal of Sciences, Islamic Republic of Iran discrete-time systems state feedback matrix localization of eigenvalues disc closed-loop system |
| title | Localization of Eigenvalues in Small Specified Regions of Complex Plane by State Feedback Matrix |
| title_full | Localization of Eigenvalues in Small Specified Regions of Complex Plane by State Feedback Matrix |
| title_fullStr | Localization of Eigenvalues in Small Specified Regions of Complex Plane by State Feedback Matrix |
| title_full_unstemmed | Localization of Eigenvalues in Small Specified Regions of Complex Plane by State Feedback Matrix |
| title_short | Localization of Eigenvalues in Small Specified Regions of Complex Plane by State Feedback Matrix |
| title_sort | localization of eigenvalues in small specified regions of complex plane by state feedback matrix |
| topic | discrete-time systems state feedback matrix localization of eigenvalues disc closed-loop system |
| url | https://jsciences.ut.ac.ir/article_51470_8480cd810114a5df96ffd4df3adbd679.pdf |
| work_keys_str_mv | AT hahsanitehrani localizationofeigenvaluesinsmallspecifiedregionsofcomplexplanebystatefeedbackmatrix |