How to select polynomial models with an accurate derivative

@article{Broersen2000HowTS,
  title={How to select polynomial models with an accurate derivative},
  author={Piet M. T. Broersen},
  journal={IEEE Trans. Instrumentation and Measurement},
  year={2000},
  volume={49},
  pages={910-914}
}
Derivatives of estimated static relations are often used for linearization in control and in extended Kalman filtering. However, the structure of selected models may only be an approximation to the true relationship, which can cause problems in taking derivatives. Polynomial models, estimated from noisy observations, may give accurate descriptions of the data while at the same time their derivatives may be poor approximations of the true derivative. The explanation of the strong degradation of… CONTINUE READING

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