A projection algorithm for partial eigenvalue assignment problem using implicitly restarted Arnoldi method-Reference-Cited by-同舟云学术

A projection algorithm for partial eigenvalue assignment problem using implicitly restarted Arnoldi method

Published:2012-01-17 Issue:3 Volume:19 Page:367-375
ISSN:1077-5463
Container-title:Journal of Vibration and Control
language:en
Short-container-title:Journal of Vibration and Control

Author:

Ramadan Mohamed A¹,El-Sayed Ehab A²

Affiliation:

1. Department of Mathematics, Menoufia University, Egypt

2. Department of Science and Mathematics, Suez Canal University, Egypt

Abstract

The problem of reassigning a part of the open-loop spectrum of a linear system by feedback control, leaving the rest of the spectrum invariant, is called the partial eigenvalue assignment problem. In this paper, a projection method based on a direct use of the implicitly restarted Arnoldi method for the partial eigenvalue assignment problem in linear control systems is presented. The method is of interest in common situations where the system is very large and only a few of its eigenvalues need to be assigned. Numerical examples are given to display the performance and the accuracy of the proposed algorithm.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Mechanics of Materials,Aerospace Engineering,Automotive Engineering,General Materials Science

Link

http://journals.sagepub.com/doi/pdf/10.1177/1077546311431998

Reference12 articles.

1. An algorithm to assign eigenvalues in a Hessenberg matrix: Single input case

2. On eigenvalue and canonical form assignments

3. Arnoldi methods for large Sylvester-like observer matrix equations, and an associated algorithm for partial spectrum assignment

4. Partial eigenstructure assignment and its application to large scale systems

5. An algorithm for pole assignment of time invariant linear systems†

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