A non-quadratic criterion for stability of forced oscillations and its application to flight control

Alexander Yu Pogromsky; Alexey S. Matveev; Boris Andrievsky; Gennady A. Leonov; Nikolay V. Kuznetsov

doi:10.23919/ECC.2013.6669353

A non-quadratic criterion for stability of forced oscillations and its application to flight control

Alexander Yu Pogromsky, Alexey S. Matveev, Boris Andrievsky, Gennady A. Leonov, Nikolay V. Kuznetsov

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

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A new test for stability of forced oscillations in nonlinear systems is applied to a marginally stable plant of the second order with a saturated PID-control and a harmonic reference signal. The range of its frequencies and amplitudes that guarantee stability of the forced oscillations is found. This result is used for stability analysis of an aircraft roll angle control system.

Originele taal-2	Engels
Titel	2013 European Control Conference (ECC)
Plaats van productie	Piscataway
Uitgeverij	Institute of Electrical and Electronics Engineers
Pagina's	4293-4298
Aantal pagina's	6
ISBN van elektronische versie	978-3-033-03962-9
DOI's	https://doi.org/10.23919/ECC.2013.6669353
Status	Gepubliceerd - 1 dec. 2013
Evenement	12th European Control Conference, ECC 2013 - Zurich, Switzerland, Zürich, Zwitserland Duur: 17 jul. 2013 → 19 jul. 2013 Congresnummer: 12 http://www.ecc2013.ethz.ch/

Congres

Congres	12th European Control Conference, ECC 2013
Verkorte titel	ECC 2013
Land/Regio	Zwitserland
Stad	Zürich
Periode	17/07/13 → 19/07/13
Internet adres	http://www.ecc2013.ethz.ch/

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10.23919/ECC.2013.6669353

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title = "A non-quadratic criterion for stability of forced oscillations and its application to flight control",

abstract = "A new test for stability of forced oscillations in nonlinear systems is applied to a marginally stable plant of the second order with a saturated PID-control and a harmonic reference signal. The range of its frequencies and amplitudes that guarantee stability of the forced oscillations is found. This result is used for stability analysis of an aircraft roll angle control system.",

keywords = "convergent systems, flight control, incremental stability, Lyapunov stability, nonlinear systems, time-varying systems",

author = "Pogromsky, {Alexander Yu} and Matveev, {Alexey S.} and Boris Andrievsky and Leonov, {Gennady A.} and Kuznetsov, {Nikolay V.}",

year = "2013",

month = dec,

day = "1",

doi = "10.23919/ECC.2013.6669353",

language = "English",

pages = "4293--4298",

booktitle = "2013 European Control Conference (ECC)",

publisher = "Institute of Electrical and Electronics Engineers",

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note = "12th European Control Conference, ECC 2013, ECC 2013 ; Conference date: 17-07-2013 Through 19-07-2013",

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Pogromsky, AY, Matveev, AS, Andrievsky, B, Leonov, GA & Kuznetsov, NV 2013, A non-quadratic criterion for stability of forced oscillations and its application to flight control. in 2013 European Control Conference (ECC)., 6669353, Institute of Electrical and Electronics Engineers, Piscataway, blz. 4293-4298, 12th European Control Conference, ECC 2013, Zürich, Zwitserland, 17/07/13. https://doi.org/10.23919/ECC.2013.6669353

A non-quadratic criterion for stability of forced oscillations and its application to flight control. / Pogromsky, Alexander Yu; Matveev, Alexey S.; Andrievsky, Boris et al.
2013 European Control Conference (ECC). Piscataway: Institute of Electrical and Electronics Engineers, 2013. blz. 4293-4298 6669353.

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

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AU - Pogromsky, Alexander Yu

AU - Matveev, Alexey S.

AU - Andrievsky, Boris

AU - Leonov, Gennady A.

AU - Kuznetsov, Nikolay V.

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N2 - A new test for stability of forced oscillations in nonlinear systems is applied to a marginally stable plant of the second order with a saturated PID-control and a harmonic reference signal. The range of its frequencies and amplitudes that guarantee stability of the forced oscillations is found. This result is used for stability analysis of an aircraft roll angle control system.

AB - A new test for stability of forced oscillations in nonlinear systems is applied to a marginally stable plant of the second order with a saturated PID-control and a harmonic reference signal. The range of its frequencies and amplitudes that guarantee stability of the forced oscillations is found. This result is used for stability analysis of an aircraft roll angle control system.

KW - convergent systems

KW - flight control

KW - incremental stability

KW - Lyapunov stability

KW - nonlinear systems

KW - time-varying systems

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DO - 10.23919/ECC.2013.6669353

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BT - 2013 European Control Conference (ECC)

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway

T2 - 12th European Control Conference, ECC 2013

Y2 - 17 July 2013 through 19 July 2013

ER -

A non-quadratic criterion for stability of forced oscillations and its application to flight control

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