CitedEvidence
User Settings
Open AccessArticle

Grey-Box Modelling for Nonlinear Systems

Jan Hauth-2008-01-01-Publikationsdatenbank der Fraunhofer-Gesellschaft (Fraunhofer-Gesellschaft)
9

TL;DRAbstract

Grey-box modelling deals with models which are able to integrate the following two kinds of information: qualitative (expert) knowledge and quantitative (data) knowledge, with equal importance. The doctoral thesis has two aims: the improvement of an existing neuro-fuzzy approach (LOLIMOT algorithm), and the development of a new model class with corresponding identification algorithm, based on multiresolution analysis (wavelets) and statistical methods.\nThe identification algorithmis able to identify both hidden differential dynamics and hysteretic components.\nAfter the presentation of some improvements of the LOLIMOT algorithm based on readily normalized weight functions derived from decision trees, we investigate several mathematical theories, i.e. the theory of nonlinear dynamical systems and hysteresis, statistical decision theory, and approximation theory, in view of their applicability for grey-box modelling. These theories show us directly the way onto a new model class and its

Chat with Paper

AI Agents for this Paper

Grey-box modelling deals with models which are able to integrate the following two kinds of information: qualitative (expert) knowledge and quantitative (data) knowledge, with equal importance. The doctoral thesis has two aims: the improvement of an existing neuro-fuzzy approach (LOLIMOT algorithm), and the development of a new model class with corresponding identification algorithm, based on multiresolution analysis (wavelets) and statistical methods.\nThe identification algorithmis able to identify both hidden differential dynamics and hysteretic components.\nAfter the presentation of some improvements of the LOLIMOT algorithm based on readily normalized weight functions derived from decision trees, we investigate several mathematical theories, i.e. the theory of nonlinear dynamical systems and hysteresis, statistical decision theory, and approximation theory, in view of their applicability for grey-box modelling. These theories show us directly the way onto a new model class and its

Keywords

WaveletNonlinear system identificationSystem identificationNonlinear systemIdentification (biology)Computer scienceAlgorithmMathematics

Chat

Click to start Chat