Optimality of passivity-based controls for distributed port-Hamiltonian systems

Authors

Gou Nishida, Kyosuke Yamaguchi, Noboru Sakamoto

Abstract

This paper discusses the (inverse) optimality and practical usage of passivity-based controls for distributed port-Hamiltonian systems. We first clarify that passivity-based controls, damping assignment and potential shaping can be derived from a linear quadratic type optimal control problem. Next, we describe the limitation of passivity-based boundary controls and propose a practical usage of the methods in terms of discretization. Finally, we illustrate numerical results having a similar property to the strain feedback methods derived from semigroup theory for stabilizing and stiffness controlling flexible beams.

Keywords

distributed parameter systems; passivity; optimal control; variational calculus

Citation

• Journal: IFAC Proceedings Volumes
• Year: 2013
• Volume: 46
• Issue: 23
• Pages: 146–151
• Publisher: Elsevier BV
• DOI: 10.3182/20130904-3-fr-2041.00193
• Note: 9th IFAC Symposium on Nonlinear Control Systems

BibTeX

@article{Nishida_2013,
  title={{Optimality of passivity-based controls for distributed port-Hamiltonian systems}},
  volume={46},
  ISSN={1474-6670},
  DOI={10.3182/20130904-3-fr-2041.00193},
  number={23},
  journal={IFAC Proceedings Volumes},
  publisher={Elsevier BV},
  author={Nishida, Gou and Yamaguchi, Kyosuke and Sakamoto, Noboru},
  year={2013},
  pages={146--151}
}

Download the bib file

References

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