Estimate of Domain of Attraction for a Class of Port‐Controlled Hamiltonian Systems Subject to Both Actuator Saturation and Disturbances

Authors

Airong Wei, Yuzhen Wang, Xiaoming Hu

Abstract

This paper investigates the estimate of domain of attraction for a class of nonlinear port‐controlled Hamiltonian (PCH) systems subject to both actuator saturation and disturbances. Firstly, two conditions are established to determine whether an ellipsoid is contractively invariant for the systems only with actuator saturation, with which the biggest ellipsoid contained in the domain of attraction can be found. Secondly, the obtained conditions are extended to estimate the domain of attraction of the systems subject to both actuator saturation and disturbances. Study of illustrative example shows the effectiveness of the method proposed in this paper.Copyright © 2011 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society

Citation

• Journal: Asian Journal of Control
• Year: 2012
• Volume: 14
• Issue: 4
• Pages: 1108–1112
• Publisher: Wiley
• DOI: 10.1002/asjc.392

BibTeX

@article{Wei_2011,
  title={{Estimate of Domain of Attraction for a Class of Port‐Controlled Hamiltonian Systems Subject to Both Actuator Saturation and Disturbances}},
  volume={14},
  ISSN={1934-6093},
  DOI={10.1002/asjc.392},
  number={4},
  journal={Asian Journal of Control},
  publisher={Wiley},
  author={Wei, Airong and Wang, Yuzhen and Hu, Xiaoming},
  year={2011},
  pages={1108--1112}
}

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References

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