Identification of spatially varying parameters for a distributed system — Application to a thermal process

Yvon Jarny

Mathematics and Computers in Simulation (MATCOM), 1981, vol. 23, issue 2, 170-179

Abstract: The identification of spatially varying parameters for a partial differential equation describing the thermal behaviour of an experimental extruder will be presented. The state equation of the model is given in a discrete functional framework and the identification problem will be considered in this framework. A steepest descent method will then be used in order to find a numerical solution to the problem. The cost functional to be minimized is non quadratic and takes into account constraints imposed on the parameters or their variations with respect to the spatial variable. The discrete approximation approach permits the exact numerical computation of the cost functional gradient. Temperature measurements made on the experimental extruder are used and results of identification obtained with constant or spatially varying parameters are compared.

Date: 1981
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:23:y:1981:i:2:p:170-179

DOI: 10.1016/0378-4754(81)90055-0

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