MATLAB Toolbox for Automatic Approximation of Nonlinear Functions
A. Szucs, M. Kvasnica, M. Fikar
Slovak University of Technology in Bratislava
Abstract
Given a nonlinear dynamical system in analytic form, the
paper proposes a novel method for approximating the system by a suitable
hybrid model such that the approximation accuracy is maximized. Specifically,
the problem of approximating generic nonlinear functions by piecewise affine
(PWA) models is considered. We show that under mild assumptions, the task can
be transformed into a series of one-dimensional approximations, for which we
propose an efficient solution method based on solving simple nonlinear
programs. Moreover, the paper discusses a software implementation of the
proposed procedure in form of a MATLAB toolbox.
Full paper
Session
Software Tools and Toolboxes (Lecture)
Reference
Szucs, A.; Kvasnica, M.; Fikar, M.: MATLAB Toolbox for Automatic Approximation of Nonlinear Functions. Editors: Fikar, M. and Kvasnica, M., In Proceedings of the 18th International Conference on Process Control, Tatranská Lomnica, Slovakia, June 14 – 17, 119–124, 2011.
BibTeX
@inProceedings{pc2011-054, | ||
author | = { | Szucs, A. and Kvasnica, M. and Fikar, M.}, |
title | = { | MATLAB Toolbox for Automatic Approximation of Nonlinear Functions}, |
booktitle | = { | Proceedings of the 18th International Conference on Process Control}, |
year | = { | 2011}, |
pages | = { | 119-124}, |
editor | = { | Fikar, M. and Kvasnica, M.}, |
address | = { | Tatransk\'a Lomnica, Slovakia}, |
publisher | = { | Slovak University of Technology in Bratislava}, |
url | = { | http://www.kirp.chtf.stuba.sk/pc11/data/papers/054.pdf}} |