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Abstract
A recursive least squares algorithm (RLSA) is used to estimate a timewise variation plane heat source inside a plate with insulated boundaries, The one-dimensional heat conduction equation with heat source at known location is expressed in continuous-time state equations. By virtue of the Kalman filter adaptor with the input estimation technique, the residual innovation sequence is generated to estimate the strength of a time-varying plane heat source. In order to examine the accuracy of the method, comparison is made with the results of the conjugate gradient method. The RLSA method is found to be more accurate than the conjugate gradient method for these special test cases,
Notes
Address correspondence to Dr. Ching-China Ji, Department of System Engineering, Chung-Cheng Institute of Technology, Tashi, Taoyuan 33509, Taiwan, Republic of China.