Inverse modeling for open boundary conditions in channel network

Abstract-- An inverse modeling problem for systems governed by first-order, hyperbolic partial differential equations subject to periodic forcing is investigated. The problem is described as a PDE constrained optimization problem with the objective of minimizing the norm of the difference between the observed inputs and the model outputs. After linearizing and discretizing the governing equations using an implicit discretization scheme, linear constraints are constructed which leads to a quadratic programming formulation of the estimation problem. The utility of the proposed approach is illustrated by considering a channel network in the Sacramento San-Joaquin Delta in California, subjected to tidal forcing. The dynamics of the hydraulic system are modeled by the linearized SaintVenant equations. The available data are the drifter positions as they circulat in the experiment domain. The inverse modeling problem is to estimate open boundary conditions by considering a finite number of d...

• Type: Conference
• Year: 2009
• Where: CDC
• Authors: Qingfang Wu, Mohammad Rafiee, Andrew Tinka, Alexandre M. Bayen
• Keywords: CDC 2009, Constrained Optimization Problem, Control Systems, Estimation Problem, Inverse Modeling Problem