A Structure of State Feedback Gain Matrices in Pole Assignment and Its Application

Abstract

In the controller design of the multi-input systems, it is well known that the feedback gain matrices to achieve a desired pole assignment are uniquely underdetermined and contain some redundant elements. Form the viewpoint of theory and application, it is very interesting to investigate the class of parameter matrices which include these redundant elements. In this paper, we clarify the class of parameter matrices of the feedback gain matrices which assign the desired poles and propose a design method of the feedback gain matrices. Finally, on the basis of these studies, we consider not only the problem of pole assignment but also the problem of zero assignment.