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Mathematical Problems in Engineering
Volume 2010, Article ID 796143, 13 pages
Research Article

The Robust Pole Assignment Problem for Second-Order Systems

Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Received 13 April 2010; Accepted 12 October 2010

Academic Editor: J. Rodellar

Copyright © 2010 Hao Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Pole assignment problems are special algebraic inverse eigenvalue problems. In this paper, we research numerical methods of the robust pole assignment problem for second-order systems. The problem is formulated as an optimization problem. Depending upon whether the prescribed eigenvalues are real or complex, we separate the discussion into two cases and propose two algorithms for solving this problem. Numerical examples show that the problem of the robust eigenvalue assignment for the quadratic pencil can be solved effectively.