A NEW APPROACH OF THE KALMAN FILTER USING FUTURE TEMPERATURE MEASUREMENTS FOR NONLINEAR INVERSE HEAT CONDUCTION PROBLEMS
Authors:
- 1 June 2004
- journal article
- research article
- Published by Taylor & Francis in Numerical Heat Transfer, Part B: Fundamentals
- Vol. 45 (6) , 565-585
Abstract
An extended version of a smoothing technique applied to the Kalman filter estimates is developed in order to solve a nonlinear one-dimensional inverse heat conduction problem. This new algorithm introduces the use of future time measurements and so provides a best estimation of the surface conditions, involving heat flux density and temperature, in which time lag and sensitivity to measurement errors are reduced. An optimal number of future temperature measurements leads to a symmetrical response of the Kalman filter compared with the exact solutions. The effect of the number of future time data is also analyzed with respect to the modeling error, the location of the interior measurement needed for the inversion, and the inverse time step.Keywords
This publication has 12 references indexed in Scilit:
- THE VALIDATION OF THE ROBUST INPUT ESTIMATION APPROACH TO TWO-DIMENSIONAL INVERSE HEAT CONDUCTION PROBLEMSNumerical Heat Transfer, Part B: Fundamentals, 2000
- Version étendue du filtre de Kalman discret appliquée à un problème inverse de conduction de chaleur non linéaireInternational Journal of Thermal Sciences, 2000
- Simultaneous identification of thermophysical and moisture transport properties in porous insulating materialsHigh Temperatures-High Pressures, 2000
- SOLUTION OF THE INVERSE HEAT CONDUCTION PROBLEM WITH A TIME-VARIABLE NUMBER OF FUTURE TEMPERATURESNumerical Heat Transfer, Part B: Fundamentals, 1997
- A recursive least-squares algorithm for on-line 1-D inverse heat conduction estimationInternational Journal of Heat and Mass Transfer, 1997
- Numerical Solution of the General Two-Dimensional Inverse Heat Conduction Problem (IHCP)Journal of Heat Transfer, 1997
- KALMAN SMOOTHING TECHNIQUE APPLIED TO THE INVERSE HEAT CONDUCTION PROBLEMNumerical Heat Transfer, Part B: Fundamentals, 1995
- An Initial Value Approach to the Inverse Heat Conduction ProblemJournal of Heat Transfer, 1986
- A NEW FINITE-DIFFERENCE METHOD FOR THE NONLINEAR INVERSE HEAT CONDUCTION PROBLEMNumerical Heat Transfer, 1986
- Nonlinear estimation applied to the nonlinear inverse heat conduction problemInternational Journal of Heat and Mass Transfer, 1970