| Autor: |
Matthieu, Barreau, W., Scherer Carsten, Frederic, Gouaisbaut, Alexandre, Seuret |
| Rok vydání: |
2020 |
| Předmět: |
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| Zdroj: |
IFAC WC 2020, Berlin |
| Druh dokumentu: |
Working Paper |
| Popis: |
This paper proposes a framework to assess the stability of an ordinary differential equation which is coupled to a 1D-partial differential equation (PDE). The stability theorem is based on a new result on Integral Quadratic Constraints (IQCs) and expressed in terms of two linear matrix inequalities with a moderate computational burden. The IQCs are not generated using dissipation inequalities involving the whole state of an infinite-dimensional system, but by using projection coefficients of the infinite-dimensional state. This permits to generalize our robustness result to many other PDEs. The proposed methodology is applied to a time-delay system and numerical results comparable to those in the literature are obtained. |
| Databáze: |
arXiv |
| Externí odkaz: |
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