Analysis and Comparison of Port-Hamiltonian Formulations for Field Theories - demonstrated by means of the Mindlin plate

Markus Schöberl, Andreas Siuka

Research output: Chapter in Book/Report/Conference proceedingConference proceedingspeer-review

Abstract

This paper focuses on the port-Hamiltonian formulation of systems described by partial differential equations. Based on a variational principle we derive the equations of motion as well as the boundary conditions in the well-known Lagrangian framework. Then it is of interest to reformulate the equations of motion in a port-Hamiltonian setting, where we compare the approach based on Stokes-Dirac structures to a Hamiltonian setting that makes use of the involved bundle structure similar to the one on which the variational approach is based. We will use the Mindlin plate, a distributed parameter system with spatial domain of dimension two, as a running example
Original languageEnglish
Title of host publicationProceedings of the European Control Conference 2013
Pages548-553
Number of pages6
Publication statusPublished - 2013

Fields of science

  • 102009 Computer simulation
  • 203 Mechanical Engineering
  • 202009 Electrical drive engineering
  • 202034 Control engineering
  • 202 Electrical Engineering, Electronics, Information Engineering
  • 202027 Mechatronics
  • 202003 Automation

JKU Focus areas

  • Mechatronics and Information Processing

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