Dynamic observer method based on modified green's functions for robust and more stable inverse algorithms Conference

Sousa, PFB, Fernandes, AP, Borges, VL et al. (2009). Dynamic observer method based on modified green's functions for robust and more stable inverse algorithms . 3(PART B), 1017-1026.

cited authors

  • Sousa, PFB; Fernandes, AP; Borges, VL; Dulikravich, GS; Guimaraes, G

authors

abstract

  • This work presents a modified procedure to use the concept of dynamic observers based on Green's functions to solve inverse problems. The original method can be divided in two distinct steps: i) obtaining a transfer function model GH and; ii) obtaining heat transfer functions GQ and GN building an identification algorithm. The transfer function model, GH, is obtained from the equivalent dynamic systems theory using Green's functions. The modification presented here proposes two different improvements in the original technique: i) A different method of obtaining the transfer function model, GH, using analytical functions instead of numerical procedures, and ii) Definition of a new concept of GH to allow the use of more than one response temperature. Obtaining the heat transfer functions represents an important role in the observer method and is crucial to allow the technique to be directly applied to two or three-dimensional heat conduction problems. The idea of defining the new GH function is to improve the robustness and stability of the algorithm. A new dynamic equivalent system for the thermal model is then defined in order to allow the use of two or more temperature measurements. Heat transfer function, GH can be obtained numerically or analytically using Green's function method. The great advantage of deriving GH analytically is to simplify the procedure and minimize the estimative errors. Copyright © 2008 by ASME.

publication date

  • November 23, 2009

International Standard Book Number (ISBN) 13

start page

  • 1017

end page

  • 1026

volume

  • 3

issue

  • PART B