Passivity Analysis of Nonlinear Euler-Bernoulli Beams

“Passivity Analysis of Nonlinear Euler-Bernoulli Beams”

Authors: Mehrdad P. Fard,
Affiliation: Norsk Hydro
Reference: 2002, Vol 23, No 4, pp. 239-258.

Keywords: Vibration control, distributed parameter systems, passivity

Abstract: The Lagrangian equations for distributed-parameter systems based on Hamilton´s principle are developed. These equations are subsequently used to derive nonlinear models for beams. The passivity properties of the flexible mechanical systems based on their distributed-parameter models are then investigated and direct output feedback control laws for control purposes are proposed. Finite gain L2 stability and passivity of closed-loop systems are proven. Illustrative cases with simulation of the nonlinear beams and stabilizing feedback control laws are included in the text.

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PDF (1707 Kb) DOI: 10.4173/mic.2002.4.1

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BibTeX:
@article{MIC-2002-4-1,
  title={{Passivity Analysis of Nonlinear Euler-Bernoulli Beams}},
  author={Fard, Mehrdad P.},
  journal={Modeling, Identification and Control},
  volume={23},
  number={4},
  pages={239--258},
  year={2002},
  doi={10.4173/mic.2002.4.1},
  publisher={Norwegian Society of Automatic Control}
};

Article

“Passivity Analysis of Nonlinear Euler-Bernoulli Beams”