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Lie-Group Modeling and Numerical Simulation of a Helicopter

Author

Listed:
  • Alessandro Tarsi

    (School of Automation Engineering, Alma Mater Studiorum—Università di Bologna, Viale del Risorgimento 2, I-40136 Bologna, Italy)

  • Simone Fiori

    (Department of Information Engineering, Marches Polytechnic University, Brecce Bianche Rd., I-60131 Ancona, Italy)

Abstract

Helicopters are extraordinarily complex mechanisms. Such complexity makes it difficult to model, simulate and pilot a helicopter. The present paper proposes a mathematical model of a fantail helicopter type based on Lie-group theory. The present paper first recalls the Lagrange–d’Alembert–Pontryagin principle to describe the dynamics of a multi-part object, and subsequently applies such principle to describe the motion of a helicopter in space. A good part of the paper is devoted to the numerical simulation of the motion of a helicopter, which was obtained through a dedicated numerical method. Numerical simulation was based on a series of values for the many parameters involved in the mathematical model carefully inferred from the available technical literature.

Suggested Citation

  • Alessandro Tarsi & Simone Fiori, 2021. "Lie-Group Modeling and Numerical Simulation of a Helicopter," Mathematics, MDPI, vol. 9(21), pages 1-34, October.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:21:p:2682-:d:662394
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