Macroscopic Freeway Modelling and Control.

Denis Jacquet 1, 2
2 NECS - Networked Controlled Systems
Inria Grenoble - Rhône-Alpes, GIPSA-DA - Département Automatique
Abstract : This PhD thesis deals with the issue of modelling and controlling freeway systems. The macroscopic approach is adopted and gives rise to distributed models represented by nonlinear partial differential equations. We provide several improvements in the analysis of these models (entropy inequality, simplied numerical schemes) and propose an hybrid formulation for the inhomogeneities (boundary conditions, on and off ramps and abrupt parameter changes) that suits controller design tasks. Based on these models, two computational control methodologies are introduced to conceive new dynamic ramp metering strategies. The first one follows an optimal control formulation and requires some extensions of the classical adjoint method due to the solution irregularity. The second one relies on a discretization scheme that leads to a piecewise affine system and uses dissipativity theory along with linear matrix inequalities to compute feedback controllers.
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Denis Jacquet. Macroscopic Freeway Modelling and Control.. Automatic. Institut National Polytechnique de Grenoble - INPG, 2006. English. ⟨tel-00150434⟩

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