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

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

doi:10.3182/20050703-6-cz-1902.01000

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

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

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.

Original language	English
Title of host publication	Proceedings of the 16th IFAC World Congress, IFAC 2005
Publisher	IFAC Secretariat
Pages	333-338
Number of pages	6
Edition	1
ISBN (Print)	008045108X, 9780080451084
DOIs	https://doi.org/10.3182/20050703-6-cz-1902.01000
State	Published - 2005
Externally published	Yes

Publication series

Name	IFAC Proceedings Volumes (IFAC-PapersOnline)
Number	1
Volume	38
ISSN (Print)	1474-6670

Keywords

Linear time-invariant systems
Positive real rational functions
Properties preservation
Robustness
Stabilization

Access to Document

10.3182/20050703-6-cz-1902.01000

Cite this

Fernández-Anaya, G., Martínez-García, J. C., Kučera, V., & Flores-Godoy, J. J. (2005). Control-oriented properties preservation in linear systems when applying PR0 substitutions. In Proceedings of the 16th IFAC World Congress, IFAC 2005 (1 ed., pp. 333-338). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 38, No. 1). IFAC Secretariat. https://doi.org/10.3182/20050703-6-cz-1902.01000

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keywords = "Linear time-invariant systems, Positive real rational functions, Properties preservation, Robustness, Stabilization",

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Fernández-Anaya, G, Martínez-García, JC, Kučera, V & Flores-Godoy, JJ 2005, Control-oriented properties preservation in linear systems when applying PR0 substitutions. in Proceedings of the 16th IFAC World Congress, IFAC 2005. 1 edn, IFAC Proceedings Volumes (IFAC-PapersOnline), no. 1, vol. 38, IFAC Secretariat, pp. 333-338. https://doi.org/10.3182/20050703-6-cz-1902.01000

Control-oriented properties preservation in linear systems when applying PR0 substitutions. / Fernández-Anaya, G.; Martínez-García, J. C.; Kučera, V. et al.
Proceedings of the 16th IFAC World Congress, IFAC 2005. 1. ed. IFAC Secretariat, 2005. p. 333-338 (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 38, No. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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BT - Proceedings of the 16th IFAC World Congress, IFAC 2005

PB - IFAC Secretariat

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

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