Validation of Simulation Models without Knowledge of Parameters Using Differential Algebra

• Published in: Mathematical problems in engineering Vol. 2015; no. 2015; pp. 1 - 9
• Main Authors: Strackeljan, Jens, Melz, Tobias, Möller, Riccardo, Haffke, Björn
• Format: Journal Article
• Language: English
• Published: Cairo, Egypt Hindawi Publishing Corporation 01.01.2015; Hindawi Limited
• Subjects: Algebra; Algorithms; Computer simulation; Deviation; Differential equations; Dynamical systems; Iterative methods; Mathematical analysis; Mathematical models; Mathematical problems; Methods; Nonlinear systems; Numerical methods; Parameter identification; Polynomials; Similarity; Simulation; Simulation models; Software; System identification; Germany
• ISSN: 1024-123X; 1563-5147
• DOI: 10.1155/2015/793216

This study deals with the external validation of simulation models using methods from differential algebra. Without any system identification or iterative numerical methods, this approach provides evidence that the equations of a model can represent measured and simulated sets of data. This is very useful to check if a model is, in general, suitable. In addition, the application of this approach to verification of the similarity between the identifiable parameters of two models with different sets of input and output measurements is demonstrated. We present a discussion on how the method can be used to find parameter deviations between any two models. The advantage of this method is its applicability to nonlinear systems as well as its algorithmic nature, which makes it easy to automate.