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Interconnection of the Kirchhoff plate within the port-Hamiltonian framework

Brugnoli, Andrea and Alazard, Daniel and Pommier-Budinger, Valérie and Matignon, Denis Interconnection of the Kirchhoff plate within the port-Hamiltonian framework. (2020) In: 2019 IEEE 58th Conference on Decision and Control (CDC), 11 December 2019 - 13 December 2019 (Nice, France).

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Official URL: https://doi.org/10.1109/CDC40024.2019.9029487


The Kirchhoff plate model is detailed by using a tensorial port-Hamiltonian (pH) formulation. A structure-preserving discretization of this model is then achieved by using the partitioned finite element (PFEM). This methodology easily accounts for the boundary variables and the finite-dimensional system can be interconnected to the surrounding environment in a simple and structured manner. The algebraic constraints to be considered are deduced from the boundary conditions, that may be homogeneous or defined by an interconnection with another pH system. The versatility of the proposed approach is assessed by means of numerical simulations. A first illustration considers a rectangular plate clamped on one side and interconnected to a rigid rod welded to the opposite side. A second example exploits the collocated output feature of pH systems to perform damping injection in a plate undergoing an external forcing. A stability proof is obtained by the application of the LaSalle's invariance principle.

Item Type:Invited Conference
Additional Information:Thanks to the IEEE (Institute of Electrical and Electronics Engineers). This paper is available at : https://ieeexplore.ieee.org/document/9029487 “© 2020 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Audience (conference):International conference proceedings
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Institution:Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
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Deposited On:18 Feb 2020 09:28

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