Eigenstructure Assignment: A Survey

Abstract

This paper surveys the field of eigenstructure assignment literature from the early 1960s to the present. The eigenstructure assignment problem is first defined as the assignment of eigenvectors within an eigenspace associated with each eigenvalue. Four broad approaches to eigenstructure assignment are identified: the protection method, the parametric method, the projection method and the orthogonal eigenvector method. The major papers for each method are described in a common nomenclature and the techniques discussed. Recent developments such as parameter uncertainty robustness and hybrid eigenstructure assignment/H_∞ control are examined in the recent literature, together with some suggestions for future research. The survey includes over 140 important references.