Exponential stability of port-Hamiltonian systems via energy-shaped method
Authors
Abstract
The traditional energy-shaped method of Port-Hamiltonian system that is based on solving partial differential equations influences the accuracy and realizability of controller. To overcome those defects, a new energy-shaped method based on the cyclo-passivity is proposed to avoid solving partial differential equations. Due to the proposed method, the exponential stability of Port-Hamiltonian has been worked out. Besides that, a relationship between the guaranteed cost control and dissipation is established for the Port-Hamiltonian system, which presents an explicit form of dissipative energy. At last, examples show the validity of the proposed contents.
Citation
- Journal: Journal of the Franklin Institute
- Year: 2017
- Volume: 354
- Issue: 7
- Pages: 2944–2958
- Publisher: Elsevier BV
- DOI: 10.1016/j.jfranklin.2017.02.004
BibTeX
@article{Cai_2017,
title={{Exponential stability of port-Hamiltonian systems via energy-shaped method}},
volume={354},
ISSN={0016-0032},
DOI={10.1016/j.jfranklin.2017.02.004},
number={7},
journal={Journal of the Franklin Institute},
publisher={Elsevier BV},
author={Cai, Liangcheng and He, Yong},
year={2017},
pages={2944--2958}
}
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