Physics-based control education: energy, dissipation, and structure assignments

Authors

Abstract

Control theory usually finds no suitable place in the education of physics. The port-Hamiltonian framework, which generalizes the formalism of Hamiltonian mechanics, provides a physics-based control strategy. This framework is also promising in the education of physicists in control theory. In this paper, we use the port-Hamiltonian framework to reformulate a physics system and introduce the physics-based control strategy, including the energy, dissipation, and structure assignments. The closed-loop Hamiltonian is a candidate of the Lyapunov function, which guarantees the global stability of the closed-loop system. These physics-based control strategies are illustrated using the Duffing oscillator and the Lorenz system. We also provide port-Hamiltonian descriptions for two examples in celestial mechanics.

Citation

Journal: European Journal of Physics
Year: 2019
Volume: 40
Issue: 3
Pages: 035006
Publisher: IOP Publishing
DOI: 10.1088/1361-6404/ab03e8

BibTeX

@article{Liu_2019,
  title={{Physics-based control education: energy, dissipation, and structure assignments}},
  volume={40},
  ISSN={1361-6404},
  DOI={10.1088/1361-6404/ab03e8},
  number={3},
  journal={European Journal of Physics},
  publisher={IOP Publishing},
  author={Liu, Chang and Dong, Lu},
  year={2019},
  pages={035006}
}

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