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Nonlinear control of a coupled PDE/ODE system modeling a switched power converter with a transmission line |
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| Affiliation: | 1. Université de Lorraine, CRAN, UMR 7039, 2 av. de la forêt de Haye, 54516 Vandoeuvre-lès-Nancy Cedex, France; CNRS, CRAN, UMR 7039, 2 av. de la forêt de Haye, 54516 Vandoeuvre-lès-Nancy Cedex, France;2. Université de Lorraine, Institut Elie Cartan de Lorraine, UMR 7502, Vandoeuvre-lès-Nancy, F-54506; CNRS, Institut Elie Cartan de Lorraine, UMR 7502, Vandoeuvre-lès-Nancy, F-54506; INRIA, Villers-lès-Nancy, F-54600, France;3. Institut Universitaire de France (IUF), France;1. Gipsa-lab, Grenoble Campus, 11 rue des Mathématiques, BP 46, 38402 Saint Martin d’Hères Cedex, France;2. Laboratoire Jean Kuntzmann, Université de Grenoble, BP 53, 38041 Grenoble, France |
| Abstract: | We consider an infinite dimensional system modeling a boost converter connected to a load via a transmission line. The governing equations form a system coupling the telegraph partial differential equation with the ordinary differential equations modeling the converter. The coupling is given by the boundary conditions and the nonlinear controller we introduce. We design a nonlinear saturating control law using a Lyapunov function for the averaged model of the system. The main results give the well-posedness and stability properties of the obtained closed loop system. |
| Keywords: | Infinite dimensional system Telegraph equations Power converters Stabilization Coupled system |
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