Passivity Based Control of Stochastic Port-hamiltonian Systems
Authors
Abstract
This paper introduces stochastic port-Hamiltonian systems and clarifies some of their properties. Stochastic port-Hamiltonian systems are extension of port-Hamiltonian systems which are used to express various deterministic passive systems. Some properties such as passivity of port-Hamiltonian systems do not generally hold for the stochastic port-Hamiltonian systems. Firstly, we show the necessary and sufficient condition to preserve the stochastic Hamiltonian structure of the original system under time-invariant coordinate transformations. Secondly, we derive the condition to maintain stochastic passivity of the system. Finally, we introduce stochastic generalized canonical transformations and propose a stabilization method based on stochastic passivity.
Citation
- Journal: Transactions of the Society of Instrument and Control Engineers
- Year: 2008
- Volume: 44
- Issue: 8
- Pages: 670–677
- Publisher: The Society of Instrument and Control Engineers
- DOI: 10.9746/ve.sicetr1965.44.670
BibTeX
@article{SATOH_2008,
title={{Passivity Based Control of Stochastic Port-hamiltonian Systems}},
volume={44},
ISSN={0453-4654},
DOI={10.9746/ve.sicetr1965.44.670},
number={8},
journal={Transactions of the Society of Instrument and Control Engineers},
publisher={The Society of Instrument and Control Engineers},
author={SATOH, Satoshi and FUJIMOTO, Kenji},
year={2008},
pages={670--677}
}