Finite-time convergent observer for a class of nonlinear systems using homogeneous method

@article{Tian2011FinitetimeCO,
  title={Finite-time convergent observer for a class of nonlinear systems using homogeneous method},
  author={Weisong Tian and Chunjiang Qian and Michael T. Frye},
  journal={Proceedings of the 2011 American Control Conference},
  year={2011},
  pages={2572-2577}
}
This paper develops nonlinear observers by using the newly developed homogeneous observer for a class of lower triangular nonlinear systems whose solution trajectories are bounded. We show that the estimated states of the proposed observer can converge to the real states in a finite time for small initial estimation errors. We also show that by adjusting the observer gain the required range of the initial estimation errors can be expanded. 

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