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Control of Beam Vibrations by Casimir Functions

  • 2019
  • OriginalPaper
  • Chapter
Published in:
Authors
Hubert Rams
Markus Schöberl
Kurt Schlacher
Published in
Dynamics and Control of Advanced Structures and Machines
Publisher
Springer International Publishing

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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.

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previous chapter Influence of Sensors and Actuators on the Design of the Modal Control System
next chapter A Modular Solver for Mechanical System Dynamics Under One-Sided Contact Constraints
Title
Control of Beam Vibrations by Casimir Functions
Authors
Hubert Rams
Markus Schöberl
Kurt Schlacher
Copyright Year
2019
Book
Dynamics and Control of Advanced Structures and Machines

Print ISBN: 978-3-319-90883-0

Electronic ISBN: 978-3-319-90884-7

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-319-90884-7_15
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