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Function Transformation: a First Step towards Ill-Defined System Modelling

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Abstract

Up to now, in modelling ill-defined systems a major effort was aimed at parameter estimation. Several refined algorithms were introduced to find a parameter set as optimal as possible, optimal in error reducing performance, optimal in noise sensitivity, even with on-line capabilities. However, they all lack the same fundamental notion of finding first structural information.

In the sequel, a promising first step in the model characterization process is presented. The method is based on the identification properties of the mapping of a function onto an orthogonal base of primitive functions, i.e. the transformation of a function towards a vector of features.

Finally, the analogy between ill-defined system modelling and data supercompression is considered. Can methods and algorithms be interchanged ?

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© 1991 Springer Science+Business Media Dordrecht

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Vermeersch, L.K., Vansteenkiste, G.C., Kerckhoffs, E.J.H., Koppelaar, H. (1991). Function Transformation: a First Step towards Ill-Defined System Modelling. In: Tzafestas, S.G. (eds) Engineering Systems with Intelligence. Microprocessor-Based and Intelligent Systems Engineering, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2560-4_74

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  • DOI: https://doi.org/10.1007/978-94-011-2560-4_74

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5130-9

  • Online ISBN: 978-94-011-2560-4

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