Nonlinear algebraic system identification via piecewise affine models in stochastic environment

Author

Simani, S. ; Fantuzzi, C. ; Rovatti, R. ; Beghelli, S.

Author_Institution

Dipt. di Ingegneria, Ferrara Univ., Italy

Volume

1

fYear

1999

fDate

1999

Firstpage

1083

Abstract

The paper discusses the issue of nonlinear system modelling by means of continuous piecewise affine models identified from noisy data. Based on the assumption that a piecewise affine system can approximate with arbitrary degree of accuracy any nonlinear relation, the identification problem is formulated within the Frisch scheme (R. Frisch, 1934). This identification procedure is well established for affine systems and here modified and improved to be applied to piecewise affine system identification. The simulation results of a test case (the identification of a continuous piecewise affine function) shows that an effective identification method has been achieved

Keywords

algebra; identification; nonlinear systems; piecewise linear techniques; stochastic processes; Frisch scheme; affine systems; continuous piecewise affine models; identification method; identification problem; noisy data; nonlinear algebraic system identification; nonlinear relation; nonlinear system modelling; piecewise affine models; piecewise affine system identification; simulation results; stochastic environment; test case; Constraint theory; Ear; Equations; Nonlinear systems; Stochastic systems; System identification; Testing;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1999. Proceedings of the 38th IEEE Conference on

Conference_Location

Phoenix, AZ

ISSN

0191-2216

Print_ISBN

0-7803-5250-5

Type

conf

DOI

10.1109/CDC.1999.832940

Filename

832940