Identification of A distributed parameter system using the least squares technique

Abstract

The identification of such systems represents one of the important directions of theoretical and practical research, due to large class of applications; fluid flow systems, heat diffusion systems, etc. In this context, we consider the linear parametric identification of distributed parameters systems using the Least Square. Two numerical examples of heat transfer systems are presented where linear and nonlinear models are obtained from heat difference equation. The third application is about the identification of a heat conduction in a cement rotary kiln using experimental data. We anticipate that this work be intuitive for practical applications in the areas of controls and signal processing.