Stabilization of Input-Disturbed Stochastic Port-Hamiltonian Systems Via Passivity

Authors

Abstract

It is a universal phenomenon that the inputs of a real stochastic process are disturbed. However, this phenomenon is often ignored when stochastic port-Hamiltonian system (SPHS) is used for modeling, in which only the disturbance on the states is considered. For this reason, an extension of SPHS, named input-disturbed SPHS (Id-SPHS), is proposed to describe the inputs disturbance as well as the states one. The definition and some properties of Id-SPHS, including structure invariance and stochastic passivity, are presented one by one to construct the basic framework of Id-SPHS. Based on this framework, a passivity-based controller is further developed to stabilize Id-SPHS at its steady state. The control strategy is demonstrated in a thermodynamic heat conduction process with the results supporting strongly the proposed Id-SPHS theory.

Citation

Journal: IEEE Transactions on Automatic Control
Year: 2017
Volume: 62
Issue: 8
Pages: 4159–4166
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
DOI: 10.1109/tac.2017.2676619

BibTeX

@article{Fang_2017,
  title={{Stabilization of Input-Disturbed Stochastic Port-Hamiltonian Systems Via Passivity}},
  volume={62},
  ISSN={1558-2523},
  DOI={10.1109/tac.2017.2676619},
  number={8},
  journal={IEEE Transactions on Automatic Control},
  publisher={Institute of Electrical and Electronics Engineers (IEEE)},
  author={Fang, Zhou and Gao, Chuanhou},
  year={2017},
  pages={4159--4166}
}

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