- Tytuł:
- Two steps piecewise affine identification of nonlinear systems
- Autorzy:
-
Stevek, J.
Szucs, A.
Kvasnica, M.
Fikar, M.
Kozak, S. - Powiązania:
- https://bibliotekanauki.pl/articles/229499.pdf
- Data publikacji:
- 2012
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
piecewise affine systems
piecewise linear
approximation
nonlinear systems
orthogonal polynomials
basis function expansion - Opis:
- Given a set of input-output measurements, the paper proposes a method for approximation of a nonlinear system by a piecewise affine model (PWA). First step of the two-stage procedure is identification from input-output data, in order to obtain an appropriate nonlinear function in analytic form. The analytic expression of the model can be represented either by a static nonlinear function or by a dynamic system and can be obtained using a basis function expansion modeling approach. Subsequently we employ nonlinear programming to derive optimal PWA approximation of the identified model such that the approximation error is minimized. Moreover, we show that approximation of multivariate systems can be transformed into a series of one-dimensional approximations, which can be solved efficiently using standard optimization techniques.
- Źródło:
-
Archives of Control Sciences; 2012, 22, 4; 371-388
1230-2384 - Pojawia się w:
- Archives of Control Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł