L 2 disturbance attenuation for a class of time-delay Hamiltonian systems

Authors

Weiwei Sun, Yuzhen Wang, Renming Yang

Abstract

This paper considers the problem of L _2-disturbance attenuation for a class of time-delay port-controlled Hamiltonian systems. A γ -dissipative inequality is established by using a proper control law and a storage function. Then based on the Razumikhin stability theorem, a sufficient condition is proposed for the asymptotically stability of the closed-loop system. Finally, the authors investigate the case that there are time-invariant uncertainties belonging to some convex bounded polytypic domain and an L _2 disturbance attenuation control law is proposed. Study of illustrative example with simulation shows that the presented method in this paper works very well in the disturbance attenuation of time-delay Hamiltonian systems.

Keywords

disturbance attenuation, hamiltonian systems, stability, time-delay

Citation

• Journal: Journal of Systems Science and Complexity
• Year: 2011
• Volume: 24
• Issue: 4
• Pages: 672–682
• Publisher: Springer Science and Business Media LLC
• DOI: 10.1007/s11424-011-8368-x

BibTeX

@article{Sun_2011,
  title={{L 2 disturbance attenuation for a class of time-delay Hamiltonian systems}},
  volume={24},
  ISSN={1559-7067},
  DOI={10.1007/s11424-011-8368-x},
  number={4},
  journal={Journal of Systems Science and Complexity},
  publisher={Springer Science and Business Media LLC},
  author={Sun, Weiwei and Wang, Yuzhen and Yang, Renming},
  year={2011},
  pages={672--682}
}

Download the bib file

References

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