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Generalized immersion and nonlinear robust output regulation problem
Kybernetika, Tome 40 (2004) no. 2, pp. 207-220 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 93B35, 93C10, 93C15, 93D20
Keywords: output regulation; robust; nonlinear; immersion 
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     author = {Castillo-Toledo, Bernardino and \v{C}elikovsk\'y, Sergej and Di Gennaro, S.},
     title = {Generalized immersion and nonlinear robust output regulation problem},
     journal = {Kybernetika},
     pages = {207--220},
     year = {2004},
     volume = {40},
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     zbl = {1249.93055},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2004_40_2_a3/}
}
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Castillo-Toledo, Bernardino; Čelikovský, Sergej; Di Gennaro, S. Generalized immersion and nonlinear robust output regulation problem. Kybernetika, Tome 40 (2004) no. 2, pp. 207-220. http://geodesic.mathdoc.fr/item/KYB_2004_40_2_a3/

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