- Tytuł:
- A multi-model approach to Saint-Venant equations: A stability study by LMIs
- Autorzy:
-
Dos Santos Martins, V.
Rodrigues, M.
Diagne, M. - Powiązania:
- https://bibliotekanauki.pl/articles/330130.pdf
- Data publikacji:
- 2012
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
równanie Saint-Venanta
system nieskończenie wymiarowy
stabilność wykładnicza
Saint-Venant equation
multi-model
LMIs
infinite dimensional system
exponential stability
strongly continuous semigroup
internal model boundary control - Opis:
- This paper deals with the stability study of the nonlinear Saint-Venant Partial Differential Equation (PDE). The proposed approach is based on the multi-model concept which takes into account some Linear Time Invariant (LTI) models defined around a set of operating points. This method allows describing the dynamics of this nonlinear system in an infinite dimensional space over a wide operating range. A stability analysis of the nonlinear Saint-Venant PDE is proposed both by using Linear Matrix Inequalities (LMIs) and an Internal Model Boundary Control (IMBC) structure. The method is applied both in simulations and real experiments through a microchannel, illustrating thus the theoretical results developed in the paper.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2012, 22, 3; 539-550
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł