This paper deals with the problem of the inversion of nonlinear maps. The first contribution of the paper is the formal definition of some problems, already present in the literature, related to the inversion of nonlinear maps. The main contribution of the paper gives a unified solution to those problems, based on the use of observers for the state estimation of a nonlinear time-varying dynamical system associated with the given map. The proposed observer turns out to be an extension of well-known iterative methods for the solutions of nonlinear equations, such as the Newton and the gradient method. © 1994 Birkhäuser.

Nicosia, S., Tornambè, A., & Valigi, P. (1994). Nonlinear map inversion via state observers. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 13(5), 571-589 [10.1007/BF02523184].

Nonlinear map inversion via state observers

Nicosia, S.;Tornambè, A.;Valigi, P.
1994

Abstract

This paper deals with the problem of the inversion of nonlinear maps. The first contribution of the paper is the formal definition of some problems, already present in the literature, related to the inversion of nonlinear maps. The main contribution of the paper gives a unified solution to those problems, based on the use of observers for the state estimation of a nonlinear time-varying dynamical system associated with the given map. The proposed observer turns out to be an extension of well-known iterative methods for the solutions of nonlinear equations, such as the Newton and the gradient method. © 1994 Birkhäuser.
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore ING-INF/04 - Automatica
English
Electrical and Electronic Engineering; Signal Processing
Nicosia, S., Tornambè, A., & Valigi, P. (1994). Nonlinear map inversion via state observers. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 13(5), 571-589 [10.1007/BF02523184].
Nicosia, S; Tornambè, A; Valigi, P
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/193783
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