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System identification techniques based on support vector machines without bias term
Authors:Michael Vogt
Affiliation:Institute of Automatic Control, Darmstadt University of Technology, , Germany
Abstract:The intention of this article is to utilize support vector machines (SVMs) as process models, which are the basis for most controller designs as well as simulation and monitoring tasks. SVMs are data‐driven models comparable with regularization networks, which merge elements from robust statistics, statistical learning, and kernel theory. The presentation is focused on the ‘no‐bias‐term’ variant, accounts for several peculiarities specific to SVM regression and derives an active‐set algorithm to solve the resulting large‐scale quadratic programming problem. For linear systems, SVMs are combined with multi‐stage methods for estimating output error and ARMAX models. Finally, two real‐world processes serve as test cases to evaluate the SVMs’ properties as nonlinear dynamic models. Copyright © 2013 John Wiley & Sons, Ltd.
Keywords:support vector machine  system identification  convex optimization  quadratic programming  active‐set method  kernel function  robust statistics  output error model  ARMAX model  application
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