Realization of a nonlinear system in the feedforward form: a polynomial approach

Miroslav Halás (1) , Yu Kawano (2) , Claude Moog (3) , Toshiyuki Ohtsuka (2)

1 FEI - Faculty of Electrical Engineering and Information Technology
2 Department of Systems and Science
3 IRCCyN - Institut de Recherche en Communications et en Cybernétique de Nantes

The paper studies the problem of finding a realization of a nonlinear system described by a higher-order input-output differential equation in the so-called feedforward form. A necessary and su fficient condition for the problem to be solvable is given, and it is represented by the requirement that the corresponding polynomial description of the input-output equation can be factorized. Then certain one-forms associated to the factorization are always integrable which allows to write down the realization. The results are also applied to derive a necessary and su fficient condition for the transformation of a nonlinear state equation into the feedforward form.

Mots clés: nonlinear systems; feedforward form; polynomial approach; realization problem

Domaines: Automatique

Miroslav Halás, Yu Kawano, Claude Moog, Toshiyuki Ohtsuka. Realization of a nonlinear system in the feedforward form: a polynomial approach. 19th World Congress IFAC, Aug 2014, Cape Town, France. pp.9480-9485. ⟨hal-00947984⟩