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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| 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 |
