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.
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 |