Hubert Rams, Markus Schöberl, Kurt Schlacher,
"Control of Beam Vibrations by Casimir Functions"
: Dynamics and Control of Advanced Structures and Machines, Springer International Publishing, Seite(n) 137-145, 3-2019, ISBN: 978-3-319-90884-7
Control of Beam Vibrations by Casimir Functions
Sprache des Titels:
Dynamics and Control of Advanced Structures and Machines
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.