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Localization of Eigenvalues in Small Specified Regions of Complex Plane by State Feedback Matrix | ||
| Journal of Sciences, Islamic Republic of Iran | ||
| مقاله 7، دوره 25، شماره 2، شهریور 2014، صفحه 157-164 اصل مقاله (466.84 K) | ||
| نوع مقاله: Original Research Articles | ||
| نویسنده | ||
| H. Ahsani Tehrani | ||
| Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahrood University, Shahrood, Islamic Republic of Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Discrete-time systems؛ State feedback matrix؛ Localization of eigenvalues؛ Disc؛ Closed-loop system | ||
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آمار تعداد مشاهده مقاله: 1,761 تعداد دریافت فایل اصل مقاله: 1,579 |
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