Analysis and Comparison of Port-Hamiltonian Formulations for Field Theories - demonstrated by means of the Mindlin plate
Sprache des Vortragstitels:
Englisch
Original Tagungtitel:
European Control Conference
Sprache des Tagungstitel:
Englisch
Original Kurzfassung:
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.