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Numerical algorithms for the pole placement problem

Two direct algorithms are suggested for the computation of the linear state feedback for multi-input systems such that the resultant closed-loop system matrix has specified eigenvalues. The extra freedom can be used in different ways, for example to decrease some norm of the feedback matrix or to improve the condition of some of the eigenvalues of the closed-loop matrix. The algorithms appear to be more efficient than the techniques already in existence and have several desirable numerical properties. They use unitary transformations for numerical reliability, and are based on ideas from the QR algorithm for solving the eigenproblem. / The above algorithms have been developed jointly with Chris Paige.

Identiferoai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.72008
Date January 1984
CreatorsMiminis, George S.
PublisherMcGill University
Source SetsLibrary and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada
LanguageEnglish
Detected LanguageEnglish
TypeElectronic Thesis or Dissertation
Formatapplication/pdf
CoverageDoctor of Philosophy (School of Computer Science.)
RightsAll items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated.
Relationalephsysno: 000219025, proquestno: AAINL20872, Theses scanned by UMI/ProQuest.

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