Localization of Eigenvalues in Small Specified Regions of Complex Plane by State Feedback Matrix

نویسنده

  • H. Ahsani Tehrani Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahrood University, Shahrood, Islamic Republic of Iran
چکیده مقاله:

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.

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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 feedback which assigns the eigenvalues inside a circle with center   and radius. this new algorithm ca...

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عنوان ژورنال

دوره 25  شماره 2

صفحات  157- 164

تاریخ انتشار 2014-06-01

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