Inverse Estimation Problem of Determining the Unknown Timewise-varying Strength of a Primer Rapid Heat Source

Abstract

The research presents an input method to estimate the unknown time-varying strength on the sources of a primer applied at this on-line inverse heat conduction problem. We use the input method to recursively predict both the impulse strength acting on the front of thin copper foil and the transient temperature-time curves from the thin copper foil with the rapid combustion of different charge designs for primers. The input method includes the extended Kalman filter and weighted recursive least squares estimator. The purpose of the extended Kalman filter is to generate the recursive innovation sequence and the weighted recursive least squares estimator is used to identify the unknown time-varying strength. The results of simulation and experiment show that the input method can estimate the unknown time-varying heat flux on-line with more accuracy in the inverse heat conduction problem mode. The test experiments, namely different conductive thickness designs for primers with time-varying heat flux input, are solved to illustrate the effectiveness and good accuracy of the presented method.