Pole assignment for linear discrete - Time systems by static output feedback

G. I. Kalogeropoulos, A. A. Pantelous, D. P. Papachristopoulos

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Abstract

In this paper, we investigate the pole assignment problem by using the static output feedback which is associated with the linear discrete-time systems. This problem is always solvable if the relative open-loop systems are completely controllable (or observable). Particularly, it is proven that two subproblems, one linear and the other multilinear, both equivalent to the initial problem, are derived. Solution(s) of the linear must be decomposable and an appropriate Grassmann variety is obtained. Already well known methods are used for the computation of the reduced set of quadratic Plucker relations, which fully describe the specific Grassmann variety. Using these relations and the generalized inverse theory, the multilinear problem is also solved and consequently the exact calculation of static matrix is derived. We conclude by presenting an illustrative example.

Original languageEnglish
Title of host publicationProceedings of the 8th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering
Subtitle of host publicationAdvanced Topics in Scattering and Biomedical Engineering
PublisherWorld Scientific Publishing
Pages150-161
Number of pages12
ISBN (Print)9812814841, 9789812814845
Publication statusPublished - 2008
Externally publishedYes
EventInternational Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering 2007 - Lefkada, Greece
Duration: 27 Sep 200729 Sep 2007
Conference number: 8th

Workshop

WorkshopInternational Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering 2007
CountryGreece
CityLefkada
Period27/09/0729/09/07

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