Control-oriented properties preservation in linear systems when applying PR0 substitutions

G. Fernández-Anaya, J. C. Martínez-García, V. Kučera, J. J. Flores-Godoy

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Resumen

We present in this paper some results concerning the preservation of control-oriented properties in Linear Time-Invariant systems (LTI systems) when applying substitutions of the Laplace variable s by a particular class of positive real functions, the socalled Positive Real functions of zero relative degree (PR0 functions). in particular, we show that the families of Bounded Real (BR), Strictly Bounded Real (SBR), and Positive Real (PR), rational functions are closed under compositions with the specified class of positive real functions. We also give some results concerning the preservation of stability in proper real rational transfer functions (in fact this is our main result), as well as the preservation of the H-norm bound for this class of systems. Our study is restricted to Single-Input Single Output (SISO) systems.

Idioma originalInglés
Título de la publicación alojadaProceedings of the 16th IFAC World Congress, IFAC 2005
EditorialIFAC Secretariat
Páginas333-338
Número de páginas6
Edición1
ISBN (versión impresa)008045108X, 9780080451084
DOI
EstadoPublicada - 2005
Publicado de forma externa

Serie de la publicación

NombreIFAC Proceedings Volumes (IFAC-PapersOnline)
Número1
Volumen38
ISSN (versión impresa)1474-6670

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