Simple adaptive control for airfoil flutter suppression

Authors

  • IPME RAS
  • Mathematics and Mechanics Faculty, Saint Petersburg State University (SPbSU), Russia
  • Mathematics and Mechanics Faculty, Saint Petersburg State University (SPbSU), Russia and Department of Mathematical Information Technology, University of Jyvaskyla, Jyvaskyla, Finland
  • Mathematics and Mechanics Faculty, Saint Petersburg State University (SPbSU), Russia
  • Mathematics and Mechanics Faculty, Saint Petersburg State University (SPbSU), Russia and Institute of Problems in Mechanical Engineering of the Russian Academy of Sciences (IPME RAS), V.O., Bolshoy, 61, 199178, Saint Petersburg, Russia,

Abstract

In the paper, the Simple Adaptive Control scheme based on the implicit reference model and the passification theorem is designed for active suppressing the airfoil flutter. This approach leads to low-order adaptation algorithms despite that the plant model order may be high. Another merit of such a kind of adaptive controllers is a possibility of using them for solving the stabilization problems, when the reference signal is zero. The simulation results are presented to demonstrate efficiency and robustness of the proposed adaptive controller.

Author Biographies

  • , Mathematics and Mechanics Faculty, Saint Petersburg State University (SPbSU), Russia and Department of Mathematical Information Technology, University of Jyvaskyla, Jyvaskyla, Finland

    Dr. of Sci., Professor, Deputy head

    Applied Cybernetics Department,

    Faculty of Mathematics and Mechanics,

    Saint Petersburg State University

  • , Mathematics and Mechanics Faculty, Saint Petersburg State University (SPbSU), Russia and Institute of Problems in Mechanical Engineering of the Russian Academy of Sciences (IPME RAS), V.O., Bolshoy, 61, 199178, Saint Petersburg, Russia,
    Gennady A. Leonov Professor, Dr. of Science, Member (corresponding) of Russian Academy of ScienceThe Dean of Mathematics and Mechanics Faculty , Saint-Petersburg State University Gennady A. Leonov was born in St. Petersburg (Russia) in 1947. Received his PhD in mathematical cybernetics from Saint-Petersburg State University in 1971 and Dr.Sci. in 1983. 
    He took up from 1971 to 1975 assistant professor, from 1975 to 1985 associate professor, from 1985 - full professor at the Mathematics and Mechanics Faculty. He has been vice-rector of Saint-Petersburg State University from 1986 to 1988. He is a dean of he Mathematics and Mechanics Faculty since 1988. 
    Professor G.A.Leonov was awarded Prize of St.-Petersburg State University (1985), State Prize of USSR (1986), Prize of Technische Universitet Dresden (1990). 
    He is member of the Russian National Committee of Theoretical Mechanics, member of Directorate of St.-Petersburg Mathematical Society, director of Research Institute of Mathematics and Mechanics of St.-Petersburg State University (since 2004). 
    Professor G.A.Leonov authored and co-authored 300 journal and conference papers. Fields of interest: theory of stability, nonlinear oscillations, chaos.

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Published

02/24/2018

Issue

Vol. 9 No. 1 (2018): Mathematics in Engineering, Science and Aerospace (MESA)

Section

Articles