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Articles

Modelling of piezoelectric structures–a Hamiltonian approach

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Pages 179-193 | Received 08 Feb 2007, Accepted 17 Aug 2007, Published online: 08 Apr 2008

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Markus Schöberl & Kurt Schlacher. (2011) First-order Hamiltonian field theory and mechanics. Mathematical and Computer Modelling of Dynamical Systems 17:1, pages 105-121.
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Luis A. Mora, Yann Le Gorrec, Denis Matignon & Hector Ramirez. (2023) Irreversible port-Hamiltonian modelling of 3D compressible fluids. IFAC-PapersOnLine 56:2, pages 6394-6399.
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Tobias Malzer, Hubert Rams, Bernd Kolar & Markus Schoberl. (2021) Stability Analysis of the Observer Error of an In-Domain Actuated Vibrating String. IEEE Control Systems Letters 5:4, pages 1237-1242.
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Tobias Malzer, Jesús Toledo, Yann Le Gorrec & Markus Schöberl. (2021) Energy-Based In-Domain Control and Observer Design for Infinite-Dimensional Port-Hamiltonian Systems. IFAC-PapersOnLine 54:9, pages 468-475.
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Ramy Rashad, Federico Califano, Arjan J van der Schaft & Stefano Stramigioli. (2020) Twenty years of distributed port-Hamiltonian systems: a literature review. IMA Journal of Mathematical Control and Information 37:4, pages 1400-1422.
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Tobias Malzer, Hubert Rams & Markus Schöberl. (2020) On structural invariants in the energy-based in-domain control of infinite-dimensional port-Hamiltonian systems. Systems & Control Letters 145, pages 104778.
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Tobias Malzer, Hubert Rams & Markus Schöberl. (2019) Energy-Based In-Domain Control of a Piezo-Actuated Euler-Bernoulli Beam. IFAC-PapersOnLine 52:2, pages 144-149.
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Hubert Rams, Markus Schöberl & Kurt Schlacher. 2019. Dynamics and Control of Advanced Structures and Machines. Dynamics and Control of Advanced Structures and Machines 137 145 .
T. Malzer, H. Rams & M. Schoberl. (2018) Energy-Based Control of Nonlinear Infinite-Dimensional Port-Hamiltonian Systems with Dissipation. Energy-Based Control of Nonlinear Infinite-Dimensional Port-Hamiltonian Systems with Dissipation.
Hubert Rams & Markus Schoberl. (2017) On structural invariants in the energy based control of port-Hamiltonian systems with second-order Hamiltonian. On structural invariants in the energy based control of port-Hamiltonian systems with second-order Hamiltonian.
R. Altmann & P. Schulze. (2017) A port-Hamiltonian formulation of the Navier–Stokes equations for reactive flows. Systems & Control Letters 100, pages 51-55.
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M. Schöberl & K. Schlacher. (2015) Lagrangian and Port-Hamiltonian formulation for Distributed-parameter systems. IFAC-PapersOnLine 48:1, pages 610-615.
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Markus Schöberl & Andreas Siuka. (2014) Jet bundle formulation of infinite-dimensional port-Hamiltonian systems using differential operators. Automatica 50:2, pages 607-613.
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Thomas Voß & Jacquelien M. A. Scherpen. (2014) Port-Hamiltonian Modeling of a Nonlinear Timoshenko Beam with Piezo Actuation. SIAM Journal on Control and Optimization 52:1, pages 493-519.
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Markus Schoberl & Andreas Siuka. (2013) On Casimir Functionals for Infinite-Dimensional Port-Hamiltonian Control Systems. IEEE Transactions on Automatic Control 58:7, pages 1823-1828.
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Weiwei Sun, Guochen Pang, Pan Wang & Lianghong Peng. (2013) Robust Adaptive Control and Disturbance Attenuation for Uncertain Hamiltonian Systems with Time Delay . Mathematical Problems in Engineering 2013, pages 1-10.
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Markus Schöberl & Andreas Siuka. 2013. Multibody System Dynamics, Robotics and Control. Multibody System Dynamics, Robotics and Control 75 93 .
M. Schöberl & A. Siuka. (2012) On the port-Hamiltonian representation of systems described by partial differential equations. IFAC Proceedings Volumes 45:19, pages 1-6.
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Markus Schoberl & Andreas Siuka. (2011) On Casimir functionals for field theories in Port-Hamiltonian description for control purposes. On Casimir functionals for field theories in Port-Hamiltonian description for control purposes.
Andreas Siuka, Markus Schöberl & Kurt Schlacher. (2011) Port-Hamiltonian modelling and energy-based control of the Timoshenko beam. Acta Mechanica 222:1-2, pages 69-89.
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Andreas Siuka, Markus Schöberl, Karl Rieger & Kurt Schlacher. (2011) Regelung verteilt-parametrischer Hamiltonscher Systeme auf Basis struktureller Invarianten. auto 59:8, pages 465-478.
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M. Schoberl, A. Siuka & K. Schlacher. (2010) Geometric aspects of first order field theories in piezoelectricity and magnetohydrodynamics. Geometric aspects of first order field theories in piezoelectricity and magnetohydrodynamics.

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