“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 HamiltonĀ“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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DOI forward links to this article:
[1] Nipon Boonkumkrong and Suwat Kuntanapreeda (2014), doi:10.1177/0959651813520146
[2] Nipon Boonkumkrong, Pichai Asadamongkon and Sinchai Chinvorarat (2018), doi:10.1088/1757-899X/297/1/012047
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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}
};