Document Type : Original Paper

Author

• H. Ahsani Tehrani

Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahrood University, Shahrood, Islamic Republic of Iran

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