On finite-time stability and stabilization of nonlinear port-controlled Hamiltonian systems

Authors

YuZhen Wang, Gang Feng

Abstract

The finite-time stability and stabilization of nonlinear port-controlled Hamiltonian (PCH) systems are investigated in this paper, and a number of new results are proposed. Firstly, by exploiting the Hamiltonian structural properties, a proper form of the Hamiltonian function is obtained, based on which a finite-time stability criterion is then presented for a class of Hamiltonian systems. Secondly, using the obtained stability criterion and the so-called “energy shaping plus damping injection” technique, the continuous finite-time stabilization problem is studied for the PCH system, and several global stabilization results are provided. Finally, the continuous robust finite-time stabilization of the PCH system with external disturbances is investigated, and two results on designing global robust finite-time stabilizers are obtained. Study of several examples with numerical simulations shows that the control design approach developed in this paper works very well.

Keywords

PCH system; finite-time stability; finite-time stabilization; robust stabilization

Citation

• Journal: Science China Information Sciences
• Year: 2013
• Volume: 56
• Issue: 10
• Pages: 1–14
• Publisher: Springer Science and Business Media LLC
• DOI: 10.1007/s11432-012-4600-0

BibTeX

@article{Wang_2012,
  title={{On finite-time stability and stabilization of nonlinear port-controlled Hamiltonian systems}},
  volume={56},
  ISSN={1869-1919},
  DOI={10.1007/s11432-012-4600-0},
  number={10},
  journal={Science China Information Sciences},
  publisher={Springer Science and Business Media LLC},
  author={Wang, YuZhen and Feng, Gang},
  year={2012},
  pages={1--14}
}

Download the bib file

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