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Title: Generalized immersion and nonlinear robust output regulation problem (English)
Author: Castillo-Toledo, Bernardino
Author: Čelikovský, Sergej
Author: Di Gennaro, S.
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 40
Issue: 2
Year: 2004
Pages: [207]-220
Summary lang: English
Category: math
Summary: The problem of output regulation of the system affected by unknown constant parameters is considered here. Under certain assumptions, such a problem is known to be solvable using error feedback via the so-called immersion to an observable linear system with outputs. Nevertheless, for many interesting cases this kind of finite dimensional immersion is difficult or even impossible to find. In order to achieve constructive procedures for wider classes, this paper investigates a more general type of immersion. Such a generalized immersion enables to solve robust output regulation problem via dynamic feedback compensator using error and exosystem state measurement. When the exosystem states are not completely measurable, a modified observed-based generalized immersion is then presented. The main result obtained here is that under reasonable assumptions both the full and partial exosystem measurement problems are equivalently solvable. Examples together with computer simulation are included to clarify the suggested approach. (English)
Keyword: output regulation
Keyword: robust
Keyword: nonlinear
Keyword: immersion
MSC: 93B35
MSC: 93C10
MSC: 93C15
MSC: 93D20
idZBL: Zbl 1249.93055
idMR: MR2069179
Date available: 2009-09-24T20:00:40Z
Last updated: 2015-03-23
Stable URL:
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