A relation between different approaches to input-output linearization via feedback
type: Item
instance of: scholarly article
title: A relation between different approaches to input-output linearization via feedback
zbMATH Open document ID: 0579.93030
DOI: 10.1016/0016-0032(85)90035-3
published in: Journal of the Franklin Institute
publication date: 1985-01-01T00:00:00Z
review text: In recent years state (feedback) transformations for nonlinear affine control systems have been studied from various viewpoints. For example, one can study the problem whether or not the system is linear after applying a suitable state feedback and state space transformation. Or, weaker, when is it possible to apply state feedback such that the external behavior of the system is linear? Another related question is when is it possible to immerse (''map into'') the nonlinear system into a linear system? The present paper deals with the last two questions and it is shown by direct inspection that the conditions for input-output linearizability coincide with those for immersed linearization provided that the original nonlinear system is right invertible.
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93B17
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 3928824
zbMATH Keywords: nonlinear affine control systems
zbMATH Keywords: input-output linearizability
zbMATH Keywords: immersed linearization
author: A. Isidori
author: Antonio Ruberti
reviewed by: H. Nijmeijer
MaRDI profile type: Publication
full work available at URL: 0016-0032(85)90035-3
OpenAlex ID: W2085626283
cites work: Q3312094
cites work: On the synthesis of linear input-output responses for nonlinear systems
cites work: Output tracking in multivariable nonlinear systems
description: scientific article; zbMATH DE number 3928824