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Eigenvalue assignment by static output feedback - on a new solvability condition and the computation of low gain feedback matrices

: Franke, M.

Postprint urn:nbn:de:0011-n-2642820 (436 KByte PDF)
MD5 Fingerprint: 9910203aa5f515e9999d650d7a9ba860
Created on: 02.09.2014

International journal of control 87 (2014), No.1, pp.64-75
ISSN: 0020-7179
ISSN: 1366-5820
Journal Article, Electronic Publication
Fraunhofer IIS, Institutsteil Entwurfsautomatisierung (EAS) ()

In this article, the static output feedback problem for linear time-invariant systems is considered. For arbitrary assignability of the roots of the characteristic polynomial by static output feedback, a new necessary and sufficient condition is derived. Although, the proof is based on simple analysis, the known sufficient conditions (derived by techniques of algebraic geometry) are directly covered. Furthermore, an algorithm for the calculation of feedback matrices assigning a desired set of eigenvalues is proposed. This algorithm does not require the desired eigenvalues to be distinct and it explicitly exploits the available degrees of freedom for reducing the feedback gain. The presented approach is illustrated on computational examples.