Some necessary and sufficient conditions for eigenstructure assignment

Fletcher, L. R., Kautsky, J., Kolka, G. K. G. and Nichols, N. ORCID: https://orcid.org/0000-0003-1133-5220 (1985) Some necessary and sufficient conditions for eigenstructure assignment. International Journal of Control, 42 (6). pp. 1457-1468. ISSN 0020-7179 doi: 10.1080/00207178508933437

Abstract/Summary

Some necessary and sufficient conditions for closed-loop eigenstructure assignment by output feedback in time-invariant linear multivariable control systems are presented. A simple condition on a square matrix necessary and sufficient for it to be the closed-loop plant matrix of a given system with some output feedback is the basis of the paper. Some known results on entire eigenstructure assignment are deduced from this. The concept of an inner inverse of a matrix is employed to obtain a condition concerning the assignment of an eigenstructure consisting of the eigenvalues and a mixture of left and right eigenvectors.