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Ulrich Konigorski

Pole Assignment in Linear Descriptor Systems

In this paper, the eigenvalue assignment problem for linear descriptor systems is considered. A new algorithm is developed, which allows the finite as well as all infinite eigenvalues to be moved to predefined locations in the left-half of the complex plain, provided the descriptor system is R-controllable. Thus, the resulting state feedback completely solves the eigenvalue assignment problem in linear descriptor systems and simultaneously results in a stable index reduction. To that purpose, after an appropriate transformation some of the descriptor variables are considered as additional fictitious inputs. Together with the real plant inputs they can in turn be used to design a proportional state feedback which not only assigns all finite and infinite eigenvalues of a reduced regular system, but simultaneously takes into account the corresponding algebraic constraints.

at – Automatisierungstechnik, Oldenbourg Wissenschaftsverlag

Print ISSN: 0178-2312
Volume: 52, 01/2004
Pages: 039

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