Time-varying port-representation of dissipative structures with gauge transformations
Authors
Gou Nishida, Masaki Yamakita, Zhi-wei Luo
Abstract
A distributed-port-Hamiltonian system is a generalized model for passivity-based controls. The system representation has been extended to an infinite-dimensional conservative system derived from variational calculus, which is called a field-port-Lagrangian system. A lot of practical systems for control engineering include dissipative elements; however such a non-conservative structure usually cannot be defined by a variational problem. This paper shows that a system with the dissipative structure can be defined as a time-varying fieldport-Lagrangian system by a gauge transformation. First, we show that the gauge transformation generates a time-dependent Lagrangian density functional that introduces the time-varying port-representation. Next, we present that a class of dissipative systems can be identified with a conservative system possessing an internal irreversible energy flow. Finally, we illustrate an equation of elastic films with viscosity damping with the time-varying port-representation.
Citation
- Journal: 2007 European Control Conference (ECC)
- Year: 2007
- Volume:
- Issue:
- Pages: 4819–4824
- Publisher: IEEE
- DOI: 10.23919/ecc.2007.7068701
BibTeX
@inproceedings{Nishida_2007,
title={{Time-varying port-representation of dissipative structures with gauge transformations}},
DOI={10.23919/ecc.2007.7068701},
booktitle={{2007 European Control Conference (ECC)}},
publisher={IEEE},
author={Nishida, Gou and Yamakita, Masaki and Luo, Zhi-wei},
year={2007},
pages={4819--4824}
}