Solutions of the generalized Sylvester matrix equation and the application in eigenstructure assignment

Abstract In this paper, a numerical solution to the problem of eigenstructure assignment for descriptor systems is investigated. To this end, we obtain numerical solutions of the generalized Sylvester matrix equation AV + BW = EVF using an iterative method. Based on the presented solution of this equation, an approach using a generalized inverse matrix for eigenstructure assignment in continuous descriptor system via descriptor variable feedback u = Kx is proposed. Finally, some numerical results show the effectiveness of the proposed approach. Copyright © 2011 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society