On output feedback pole assignability

Abstract

The problem of assigning all the system poles by means of output feedback is considered. This problem was studied by Munro and Vardulakis (1973) who obtained a necessary and sufficient condition for the existence of such an output feedback. In this paper it is shown that satisfaction of the condition obtained by Munro and Vardulakis (1973) is equivalent to the existence of an incomplete state feedback law which achieves the desired pole configuration. A coordinate transformation is used to test this condition, and it is shown that when the condition is satisfied the required output feedback matrix is obtained directly.