PROBLEMS OF MODEL UPDATING PROCEDURES - A PERSPECTIVE RESUMPTION

Starting with uncertainty considerations of mathematical models, the c oncepts of verification, validation, usability and falsification are d efined. The tool for achieving a verified, validated and usable mathem atical model is system identification, or more particular model updati ng in the inverse formulation. Uncertainty modeling is performed for t he mathematical model to be corrected by model decomposition (substruc turing) and for the measured data by stochastic methods by applying es timators. Problems in updating are discussed, as are the well-posednes s of the formulation of the identification problem itself, the determi nation of the model structure, and the order reduction of discretised linear models. Numerical algorithms and regularisation methods are dis cussed also. Applications are mentioned, such as the model-supported d iagnosis of technical systems and the parameter estimation of constitu tive equations. (C) 1998 Academic Press Limited.