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

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

1 Citation (Scopus)

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.

Original language	English
Title of host publication	2013 European Control Conference (ECC)
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	4293-4298
Number of pages	6
ISBN (Electronic)	978-3-033-03962-9
DOIs	https://doi.org/10.23919/ECC.2013.6669353
Publication status	Published - 1 Dec 2013
Event	12th European Control Conference, ECC 2013 - Zurich, Switzerland, Zürich, Switzerland Duration: 17 Jul 2013 → 19 Jul 2013 Conference number: 12 http://www.ecc2013.ethz.ch/

Conference

Conference	12th European Control Conference, ECC 2013
Abbreviated title	ECC 2013
Country/Territory	Switzerland
City	Zürich
Period	17/07/13 → 19/07/13
Other	European Control Conference 2013
Internet address	http://www.ecc2013.ethz.ch/

Keywords

convergent systems
flight control
incremental stability
Lyapunov stability
nonlinear systems
time-varying systems

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10.23919/ECC.2013.6669353

Cite this

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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",

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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, pp. 4293-4298, 12th European Control Conference, ECC 2013, Zürich, Switzerland, 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. p. 4293-4298 6669353.

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

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AU - Kuznetsov, Nikolay V.

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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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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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Keywords

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