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Modular passivity-based modelling of piezoelectric actuators

Author

Listed:
  • 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.

Suggested Citation

  • Ignacio Díaz & Héctor Ramírez & Yann Le Gorrec & Yongxin Wu, 2025. "Modular passivity-based modelling of piezoelectric actuators," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 31(1), pages 2533294-253, December.
    • Handle: RePEc:taf:nmcmxx:v:31:y:2025:i:1:p:2533294
    DOI: 10.1080/13873954.2025.2533294
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