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Advances in Aerospace Guidance, Navigation and Control pp 101–119Cite as

Limit Cycle Oscillation Amplitude Tailorng Based on Describing Functions and \(\mu \) Analysis

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Abstract

Freeplay is a nonlinearity commonly encountered in aeroservoelastic applications which is known to cause Limit Cycle Oscillations (LCOs), limited amplitude flutter phenomena not captured by a linear analysis. Uncertainties in the models are also known to play an important role in triggering instabilities which might not be present in the nominal case, or altering their features in an unpredictable way. This paper shows the process to build a framework to study the nonlinear behavior of a typical section affected by a freeplay in the control surface and uncertainties in its parameters’ values. Starting from the definition of the nominal aeroelastic model, the nonlinear framework is implemented by means of the Describing Function (DF) method and robust analysis is introduced by means of \(\mu \) technique. In addition, it is shown an idea to perform a tailoring of the LCO graph of the system with the practical goal to limit the oscillation amplitude. Implications and advantages of using DF and \(\mu \) as primary tools are highlighted, and prowess of the methodology is showcased with an example.

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Acknowledgements

This work has received funding from the European Union’s Horizon 2020 research and innovation programme under grant agreement No 636307, project FLEXOP.

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Authors and Affiliations

  1. Department of Aerospace Engineering, University of Bristol, Bristol, BS8 1TR, UK

    Andrea Iannelli, Andrés Marcos & Mark Lowenberg

Authors
  1. Andrea Iannelli
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  2. Andrés Marcos
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  3. Mark Lowenberg
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Corresponding author

Correspondence to Andrea Iannelli .

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Editors and Affiliations

  1. Avionics and Control Systems Department, Rzeszów University of Technology, Rzeszów, Poland

    Bogusław Dołęga

  2. The Institute of Aeronautics and Applied Mechanics, Warsaw University of Technology, Warsaw, Poland

    Robert Głębocki

  3. Avionics and Control Systems Department, Rzeszów University of Technology, Rzeszów, Poland

    Damian Kordos

  4. The Institute of Aeronautics and Applied Mechanics, Warsaw University of Technology, Warsaw, Poland

    Marcin Żugaj

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Iannelli, A., Marcos, A., Lowenberg, M. (2018). Limit Cycle Oscillation Amplitude Tailorng Based on Describing Functions and \(\mu \) Analysis. In: Dołęga, B., Głębocki, R., Kordos, D., Żugaj, M. (eds) Advances in Aerospace Guidance, Navigation and Control. Springer, Cham. https://doi.org/10.1007/978-3-319-65283-2_6

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  • DOI: https://doi.org/10.1007/978-3-319-65283-2_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-65282-5

  • Online ISBN: 978-3-319-65283-2

  • eBook Packages: EngineeringEngineering (R0)

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