18th International Conference on Process Control

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

054.pdf

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}}
© 2011 Institute of Information Engineering, Automation and Mathematics, FCFT STU in Bratislava. All rights reserved.