On Structural Invariants in the Energy Based Control of Port-Hamiltonian Systems with Second-Order Hamiltonian

Hubert Rams, Markus Schöberl

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

Abstract

This paper deals with the energy based control of infinite-dimensional port-Hamiltonian systems, by exploiting structural invariants—so-called Casimir functionals—of the closed loop system. We confine ourselves to port-Hamiltonian systems, modeled within a jet-space approach, with one dimensional spatial domain and 2nd-order Hamiltonian. Therefore, the concept of structural invariants is extended from systems with 1st-order Hamiltonian to systems with 2nd-order Hamiltonian. To demonstrate the capability of this closed loop control methodology, a boundary controlled Euler-Bernoulli beam is used. Finally, simulation results conclude the paper.
Original languageEnglish
Title of host publicationProceedings of the Amercian Control Conference (ACC) 2017, Seattle, WA, USA
Pages1139-1144
Number of pages6
ISBN (Electronic)9781509059928
DOIs
Publication statusPublished - 2017

Fields of science

  • 202017 Embedded systems
  • 203015 Mechatronics
  • 101028 Mathematical modelling
  • 202 Electrical Engineering, Electronics, Information Engineering
  • 202003 Automation
  • 202027 Mechatronics
  • 202034 Control engineering

JKU Focus areas

  • Mechatronics and Information Processing

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