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

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    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 languageEnglish
    Title of host publication2013 European Control Conference (ECC)
    Place of PublicationPiscataway
    PublisherInstitute of Electrical and Electronics Engineers
    Pages4293-4298
    Number of pages6
    ISBN (Electronic) 978-3-033-03962-9
    DOIs
    Publication statusPublished - 1 Dec 2013
    Event2013 12th European Control Conference, ECC 2013 - Zurich, Switzerland
    Duration: 17 Jul 201319 Jul 2013

    Conference

    Conference2013 12th European Control Conference, ECC 2013
    CountrySwitzerland
    CityZurich
    Period17/07/1319/07/13

    Keywords

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

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  • Cite this

    Pogromsky, A. Y., Matveev, A. S., Andrievsky, B., Leonov, G. A., & Kuznetsov, N. V. (2013). A non-quadratic criterion for stability of forced oscillations and its application to flight control. In 2013 European Control Conference (ECC) (pp. 4293-4298). [6669353] Institute of Electrical and Electronics Engineers. https://doi.org/10.23919/ECC.2013.6669353