Robust pole assignment for ordinary and descriptor systems via the Schur form

Abstract

In Chu (Syst Control Lett 56:303-314, 2007), the pole assignment problem was considered for the control system with linear state-feedback An algorithm using the Schur form has been proposed, producing good suboptimal solutions which can be refined further using optimization. In this paper, the algorithm is improved, incorporating the minimization of the feedback gain It is also extended for the pole assignment of the descriptor system with linear state- and derivative-feedback Newton refinement for the solutions is discussed and several illustrative numerical examples are presented. © 2011 Springer Science+Business Media B.V.