Pole assignment in real Schur form

Abstract

Abstract In this paper an algorithm for pole assignment in real Schur form by gain state feedback is given. The proposed algorithm shifts, at each iteration, 1 or 2 poles in the last diagonal block of the closed-loop system. Only the last few columns in real Schur form are altered and therefore the Schur form is preserved at each iteration. After the completion of each iteration, the orthogonal similarity transformation is applied so that a new block is moved to the last diagonal block and the iterations continue. The desired feedback matrix K at the end of the algorithm is found to be the sum of the component matrices, each of which assign one or two poles.