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

Tiexiang Li, King-Wah Eric Chu, Wen-wei Lin

Research output: Chapter in Book/Report/Conference proceedingChapter (Book)Researchpeer-review

2 Citations (Scopus)

Abstract

In Chu (Syst Control Lett 56:303-314, 2007), the pole assignment problem was considered for the control system x = Ax + Bu with linear statefeedback u = Fx: 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 kFk: It is also extended for the pole assignment of the descriptor system Ex = Ax + Bu with linear state- and derivative-feedback u = Fx - Gx. Newton refinement for the solutions is discussed and several illustrative numerical examples are presented.
Original languageEnglish
Title of host publicationNumerical Linear Algebra in Signals, Systems and Control (Lecture Notes in Electrical Engineering)
EditorsPaul Van Dooren, Shankar P Bhattacharyya, Raymond H Chan, Vadim Olshevsky, Aurobinda Routray
Place of PublicationNew York USA
PublisherSpringer
Pages341 - 365
Number of pages25
ISBN (Print)9789400706019
DOIs
Publication statusPublished - 2011

Cite this

Li, T., Chu, K-W. E., & Lin, W. (2011). Robust pole assignment for ordinary and descriptor systems via the Schur Form. In P. Van Dooren, S. P. Bhattacharyya, R. H. Chan, V. Olshevsky, & A. Routray (Eds.), Numerical Linear Algebra in Signals, Systems and Control (Lecture Notes in Electrical Engineering) (pp. 341 - 365). Springer. https://doi.org/10.1007/978-94-007-0602-6_16