APPLICATION OF KALMAN FILTERING WITH INPUT ESTIMATION TECHNIQUE TO ONLINE CYLINDRICAL INVERSE HEAT-CONDUCTION PROBLEMS

An on-line methodology to solve the inverse heat conduction problems o f a hollow cylinder is presented. A new input estimation technique bas ed on the concept of Kalman filtering is developed for estimating unkn owns in real time, such as the what of the heat source or the heat flu x on the boundary of the hollow cylinder. A recursive relation between the observed value of the residual sequence with unknown heat flux an d the theoretical residual sequence of the Kalman filter that assumes known heat flux is formulated. A real time least squares algorithm is derived that uses the residual innovation sequence to compute the magn itude of heat flux. This recursive approach facilitates practical impl ementation and its capabilities are demonstrated in several typical ca ses with discontinuous and time-varying heat flux inputs.