Modular passivity-based modelling of piezoelectric actuators

Authors

Ignacio Díaz, Héctor Ramírez, Yann Le Gorrec, Yongxin Wu

Abstract

This paper is concerned with the constructive, modular and easy to implement passivity-based rate-dependent modelling of piezoelectric actuators (PZAs) using the port Hamiltonian (PH) framework. The proposed model incorporates hysterons to capture the hysteresic behaviour of PZAs, resulting in a causal bond-graph representation and a simplified explicit PH formulation. The proposed model is an input-affine port-Hamiltonian system that is shown to be asymptotically stable with respect to an arbitrary equilibrium configuration. The model is experimentally validated over a large range of operation frequencies using a commercial piezoelectric actuator and compared to a Bouc-Wen model of the same order.

Citation

• Journal: Mathematical and Computer Modelling of Dynamical Systems
• Year: 2025
• Volume: 31
• Issue: 1
• Pages:
• Publisher: Informa UK Limited
• DOI: 10.1080/13873954.2025.2533294

BibTeX

@article{D_az_2025,
  title={{Modular passivity-based modelling of piezoelectric actuators}},
  volume={31},
  ISSN={1744-5051},
  DOI={10.1080/13873954.2025.2533294},
  number={1},
  journal={Mathematical and Computer Modelling of Dynamical Systems},
  publisher={Informa UK Limited},
  author={Díaz, Ignacio and Ramírez, Héctor and Le Gorrec, Yann and Wu, Yongxin},
  year={2025}
}

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