Record number :
1589841
Title of article :
Localization of eigenvalues in small specified regions of complex plane by state feedback matrix
Author/Authors :
Ahsani Tehrani، H. Department of Applied Mathematics - Faculty of Mathematical Sciences - Shahrood University, Shahrood, Iran
Issue Information :
فصلنامه با شماره پیاپی سال 2014
Pages :
8
From page :
157
To page :
164
Abstract :
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.
Abstract :
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.
Keywords :
Discrete-time systems , State feedback matrix , Localization of eigenvalues , Disc , Closed-loop system
Journal title :
Journal of Sciences
Serial Year :
2014
Link To Document :
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