QA172 : Inverse Eigenvalue Problems and Pole Assignment in Control Theory
Thesis > Central Library of Shahrood University > Mathematical Sciences > MSc > 2013
Authors:
Nasim Ramroodi [Author], Hojjat Ahsani Tehrani[Supervisor]
Abstarct: Inverse eigenvalue problem has many application in science. For example, Control design, Geophysics, Molecular spectrometer, Circuit theory. One of the most important applications of this problem is in pole assignment problem in control theory. Because of its important roll in engineering, we are studied the relationship between pole assignment problem and matrix inverse eigenvalue problem, then we present a new method for solving the pole assignment using inverse eigenvalue problem. We investigate this new method in descxriptor system, time-delay system, 2D system and high-order system. In this method, according to the exists theorems in inverse eigenvalue problem, output feedback matrix K is calculated such that eigenvalues of close-loop system are arbitrary and prescribed. Also we are compared this method with the method that proposed by Dr. Karbassi and Saadatjou. Removed of non-linear equation is the main advantage of this method. At the end, the results of this new method is presented as numerical examples.
Keywords:
#Inverse eigenvalue problem #Eigenvalue assignment problem #Controllable #Output feedback linear system #Descxriptor system #Delay system #Two-dimensional system #High-order system Link
Keeping place: Central Library of Shahrood University
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