• Corpus ID: 237372713

Linear Fractional Transformation modeling of multibody dynamics around parameter-dependent equilibrium

@article{Kassarian2021LinearFT,
  title={Linear Fractional Transformation modeling of multibody dynamics around parameter-dependent equilibrium},
  author={Ervan Kassarian and Francesco Sanfedino and Daniel Alazard and Charles-Antoine Chevrier and Johan Montel},
  journal={ArXiv},
  year={2021},
  volume={abs/2109.00407}
}
This paper proposes a new Linear Fractional Transformation (LFT) modeling approach for uncertain Linear Parameter Varying (LPV) multibody systems with parameter-dependent equilibrium. The most common procedure relies on the polynomial fitting of a set of Linear Time Invariant models over a grid of equilibrium points, which may be time consuming and miss worst-case configurations. An alternative is the symbolic linearization of the nonlinear equations, but it is often computationally heavy for… 
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A dynamical model of the complete system is proposed, based on a multibody approach and accounting for parametric uncertainties with Linear Fractional Transformations, and the comparison with flight data shows that the frequency content of the platform’s motion is accurately predicted.

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