Abstract
The objective of this contribution is to find
a coordinate independent Hamiltonian representation of the
governing equations of inductionless Magnetohydrodynamics,
where we are interested in analysing the relevant energy flows
in a purely geometric fashion also taking dissipative effects
into account. We especially treat the boundary conditions in
an extraordinary manner and we define control inputs which
may act on the system boundary. Finally, the Port-Controlled
Hamiltonian system representation, well-known in the lumped
parameter case, is also reflected in the infinite dimensional case
which is crucial particularly with regard to control theoretic
aspects.
| Original language | English |
|---|---|
| Title of host publication | 19th International Symposium on Mathematical Theory of Networks & Systems (MTNS), Budapest, 2010 |
| Pages | 1889 - 1896 |
| Number of pages | 8 |
| Publication status | Published - Jul 2010 |
Fields of science
- 101028 Mathematical modelling
- 202 Electrical Engineering, Electronics, Information Engineering
- 202003 Automation
- 202017 Embedded systems
- 202027 Mechatronics
- 202034 Control engineering
- 203015 Mechatronics
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