Freedom in coordinate transformation for exact linearization and its application to transient behavior improvement
type: Item
instance of: scholarly article
title: Freedom in coordinate transformation for exact linearization and its application to transient behavior improvement
zbMATH Open document ID: 0967.93017
DOI: 10.1016/S0005-1098(00)00134-5
author: Kenji Fujimoto
author: Toshiharu Sugie
published in: Automatica
publication date: 2001-09-04T00:00:00Z
review text: Exploiting the existence of infinitely many solutions to certain partial differential equations (PDEs) (providing the linearizing output, the pair of linearizing feedbacks and coordinate transformations) the authors derive a global version of a result on the parametrization of all solutions to the above PDEs. This extra freedom in exact linearization is used in order to shape the transient behaviour in the presence of impulsive disturbances. Finally, numerical and experimental examples in the case of a magnetic levitation system illustrate the effectiveness of the procedure.
reviewed by: Mihail Voicu
Mathematics Subject Classification ID: 93B18
Mathematics Subject Classification ID: 93B17
zbMATH DE Number: 1553210
zbMATH Keywords: feedback linearization
zbMATH Keywords: transient behaviour
zbMATH Keywords: impulsive disturbances
zbMATH Keywords: magnetic levitation
MaRDI profile type: Publication
cites work: Persistent disturbance rejection via static-state feedback
cites work: New results and examples in nonlinear feedback stabilization
cites work: Local stabilization of minimum-phase nonlinear systems
cites work: Asymptotic stabilization of minimum phase nonlinear systems
cites work: Nonlinear control systems: An introduction
cites work: Q3951974
cites work: High-gain feedback in non-linear control systems†
cites work: Configuration Flatness of Lagrangian Systems Underactuated by One Control
cites work: Q4212832
full work available at URL: s0005-1098(00)00134-5
OpenAlex ID: W2176315013
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description: scientific article; zbMATH DE number 1553210