PC environment for simulation and parameter estimation of distributed parameter systems

N. Point, A. Vande Wouwer, M. Remy and M. Zeitz

Mathematics and Computers in Simulation (MATCOM), 1993, vol. 35, issue 6, 481-491

Abstract: This paper describes the interfacing of the simulation software DSS/2 and the optimization program OPTDES in order to build a PC environment for simulation and parameter estimation of dynamical systems with distributed parameters. The efficiency of these FORTRAN software tools is illustrated by a furnace modelling study. The nonlinear partial differential equations of the model are discretized by the finite-difference method and the orthogonal collocation on finite elements, and the simulation results are compared. It is shown that the use of differential-algebraic solvers to handle the boundary conditions and an effective grid point selection lead to a significant reduction of the result equations. The unknown model parameters are estimated from experimental data by minimizing an output least-square error criterion with a hybrid sequential quadratic programming-generalized reduced gradient algorithm.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:35:y:1993:i:6:p:481-491

DOI: 10.1016/0378-4754(93)90066-4

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