Title :
Formal Distributed Port-Hamiltonian Representation of Field Equations
Author :
Nishida, Gou ; Yamakita, Masaki
Author_Institution :
Department of Mechanical Control Systems, Tokyo Institute of Technology, Meguroku Oookayama 2-12-1, Tokyo, Japan <nishida@ac.ctrl.titech.ac.jp>
Abstract :
The purpose of this study is to establish a unified modeling procedure of distributed port-Hamiltonian formulations for field equations. First, higher order Stokes-Dirac structures on variational complexes of jet bundles are introduced. Next, a one-to-one correspondence between Euler-Lagrange equations and distributed port-Hamiltonian systems is presented. Finally, in the case that the Lagrangian is given, the concrete transformation procedure for distributed port-Hamiltonian systems is explained by using two examples.
Keywords :
Concrete; Control systems; Damping; Distributed parameter systems; Equations; Lagrangian functions; Mechanical variables control; Power supplies; Power system modeling; Transistors;
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1583123
