Stabilization of Dynamic Systems by Localization of Eigenvalues in a Specified Interval

Volume 7, Issue 2, pp 144 - 153 http://dx.doi.org/10.22436/jmcs.07.02.08

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Authors

H. Ahsani Tehrani - Department of Mathematics, Shahrood University of Technology, Shahrood, Iran.

Abstract

This paper is concerned with the problem of designing linear time-invariant 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 in the interval shown in figure 1. This new algorithm can also be used for the placement of closed-loop eigenvalues in a specified interval in z-plane and can be employed for large-scale linear time-invariant control systems. Some illustrative examples are presented to show the advantages of this new technique.

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Keywords

• linear time-invariant systems
• State feedback matrix
• Localization of eigenvalues
• interval
• Large-scale systems

MSC

•  65F15
•  93D15

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