A non-quadratic criterion for stability of forced oscillations

A.Y. Pogromskiy; Alexey Matveev

doi:10.1016/j.sysconle.2013.02.002

A non-quadratic criterion for stability of forced oscillations

A.Y. Pogromskiy, Alexey Matveev

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Abstract

A new test for stability of forced oscillations in nonlinear systems is proposed. The result is illustrated by an example of a saturated PI-control of an integrator with a harmonic reference signal. The range of frequencies and amplitudes that guarantee stability of the corresponding oscillations is found. (C) 2013 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	408-412
Number of pages	5
Journal	Systems and Control Letters
Volume	62
Issue number	5
DOIs	https://doi.org/10.1016/j.sysconle.2013.02.002
Publication status	Published - 2013

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10.1016/j.sysconle.2013.02.002

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title = "A non-quadratic criterion for stability of forced oscillations",

abstract = "A new test for stability of forced oscillations in nonlinear systems is proposed. The result is illustrated by an example of a saturated PI-control of an integrator with a harmonic reference signal. The range of frequencies and amplitudes that guarantee stability of the corresponding oscillations is found. (C) 2013 Elsevier B.V. All rights reserved.",

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AU - Pogromskiy, A.Y.

AU - Matveev, Alexey

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Y1 - 2013

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AB - A new test for stability of forced oscillations in nonlinear systems is proposed. The result is illustrated by an example of a saturated PI-control of an integrator with a harmonic reference signal. The range of frequencies and amplitudes that guarantee stability of the corresponding oscillations is found. (C) 2013 Elsevier B.V. All rights reserved.

U2 - 10.1016/j.sysconle.2013.02.002

DO - 10.1016/j.sysconle.2013.02.002

M3 - Article

VL - 62

SP - 408

EP - 412

JO - Systems and Control Letters

JF - Systems and Control Letters

SN - 0167-6911

IS - 5

ER -

A non-quadratic criterion for stability of forced oscillations

Abstract

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