In [3] the measurement and modelling of linear systems in the presence of non-linear distortions has been studied for a special class of periodic excitation signals. This paper extends the theory of [3] to more general classes of (periodic) excitation signals. Also, enhanced properties of the best l
VARIABLE SELECTION IN NON-LINEAR SYSTEMS MODELLING
โ Scribed by K.Z. Mao; S.A. Billings
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 231 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0888-3270
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โฆ Synopsis
A new algorithm which preselects variables in non-linear system models is introduced by converting the problem into a variable selection procedure for a set of linearised models. Because on this result an algorithm which consists of a cluster analysis linearisation sub-region division procedure, a linear subset selection routine using an all possible regression algorithm and a genetic algorithm is developed. This algorithm can be applied to the modelling of non-linear systems using a wide class of model forms including the non-linear polynomial model, the non-linear rational model, artificial neural networks and others. Numerical simulations are included to demonstrate the efficiency of the new algorithm.
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