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Piezoelectric beam with distributed control ports: a power-preserving discretization using weak formulation

Cardoso-Ribeiro, Flavio Luiz and Matignon, Denis and Pommier-Budinger, Valérie Piezoelectric beam with distributed control ports: a power-preserving discretization using weak formulation. (2016) In: 2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations CPDE 2016, 13 June 2016 - 15 June 2016 (Bertinoro, Italy).

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Official URL: http://dx.doi.org/10.1016/j.ifacol.2016.07.456

Abstract

A model reduction method for infinite-dimensional port-Hamiltonian systems with distributed ports is presented. The method is applied to the Euler-Bernoulli equation with piezoelectric patches. The voltage is considered as an external input of the system. This gives rise to an unbounded input operator. A weak formulation is used to overcome this difficulty. It also allows defining a discretization method which leads to a finite-dimensional port-Hamiltonian system; the energy flow of the original system is preserved. Numerical results are compared to experimental ones to validate the method. Further work should use this model to couple the approximated equations with a more complex system, and to design active control laws.

Item Type:Invited Conference
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 By: Flavio Luiz Cardoso-Ribeiro
Deposited On:22 Sep 2016 14:40

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