Control of Beam Vibrations by Casimir Functions

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

This contribution presents a port-Hamiltonian (pH) framework for the modeling and control of a certain class of distributed-parameter systems. Since the proposed pH-formulation can be seen as a direct adoption of the calculus of variations on jet bundles, it is especially suited for mechanical systems exhibiting a variational character. Besides the pH-framework, an energy-based control scheme making heavy use of structural invariants (casimir functions) is presented on the example of a boundary-controlled Euler–Bernoulli beam.
Original languageEnglish
Title of host publicationDynamics and Control of Advanced Structures and Machines
PublisherSpringer International Publishing
Pages137-145
Number of pages9
ISBN (Electronic)9783319908847
ISBN (Print)978-3-319-90884-7
DOIs
Publication statusPublished - Mar 2019

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

  • Digital Transformation
  • Sustainable Development: Responsible Technologies and Management

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