Dissipativity enforcement via Perturbation of para-Hermitian Pencils

Please always quote using this URN:urn:nbn:de:0296-matheon-9476
  • Dissipativity is an important property of individual systems that guarantees a stable interconnected system. However, due to errors in the modeling process weakly non-dissipative models may be constructed. In this paper we introduce a method to perturb a non-dissipative LTI system in order to enforce dissipativity using spectral perturbation results for para-Hermitian pencils. Compared to earlier algorithms the new method is applicable to a wider class of problems, it utilizes a simpler framework, and employs a larger class of allowable perturbations resulting in smaller perturbations. Moreover, system stability can be enforced as well. Numerical examples are provided to show the effectiveness of the new approach.

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Metadaten
Author:Tobias Brüll, Christian Schröder
URN:urn:nbn:de:0296-matheon-9476
Referee:Volker Mehrmann
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2011/12/16
Release Date:2011/12/16
Tag:behavioral approach; dissipativity; eigenvalue perturbation; linear system; para-Hermitian matrices; passivity
Institute:Research Center Matheon
Technische Universität Berlin
MSC-Classification:65-XX NUMERICAL ANALYSIS / 65Pxx Numerical problems in dynamical systems [See also 37Mxx] / 65P99 None of the above, but in this section
93-XX SYSTEMS THEORY; CONTROL (For optimal control, see 49-XX) / 93Dxx Stability / 93D99 None of the above, but in this section
Preprint Number:836
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