| author | = | {A. Sz\~ucs and M. Kvasnica and M. Fikar}, |
| title | = | {Optimal Piecewise Affine Approximations of Nonlinear Functions Obtained from Measurements}, |
| booktitle | = | {4th IFAC Conference on Analysis and Design of Hybrid Systems, Eindhoven, Netherlands}, |
| year | = | {2012}, |
| keyword | = | {hybridn\'e syst\'emy, aproxim\'acia, statick\'e nelinearity}, |
| pages | = | {160-165}, |
| annote | = | {The paper describes a two-stage procedure for obtaining piecewise affine approximations of static nonlinearities obtained from measured data. In the first step we search for a suitable function which fits the data while minimizing the fitting error. Subsequently we show how to approximate, in an optimal fashion, the nonlinear fitting function by a piecewise affine function of pre-specified complexity. We illustrate that approximation of arbitrary nonlinear functions boils down to a series of one-dimensional approximations, rendering the procedure efficient from a computational point of view.}, |
| url | = | {https://www.uiam.sk/assets/publication_info.php?id_pub=1306} |
}