TITLE:
Simplified Methods for Eigenvalue Assignment
AUTHORS:
Omar Moh’d El-Basheer El-Ghezawi
KEYWORDS:
Eigenvalue Assignment, Pole Placement, Recursive Methods
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.5 No.7,
May
29,
2015
ABSTRACT: A state feedback
method of reduced order for eigenvalue assignment is developed in this paper.
It offers immediate assignment of m eigenvalues,
with freedom to assign the remaining n-m eigenvalues. The method also enjoys a systematic one-step application in the case
where the system has a square submatrix. Further simplification is also
possible in certain cases. The method is shown to be applicable to uncontrollable
systems, offering the simplest control law when having maximum uncontrollable eigenvalues.