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On the Convergence of Iterative Identification of Hammerstein Systems

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Book cover Advances in Automation and Robotics, Vol.1

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 122))

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Abstract

An iterative identification algorithm of Hammerstein systems needs a proper initial condition to guarantee its convergence. In this paper, we propose a new algorithm by fixing the norm of the parameter estimates. The normalized algorithm ensures the convergence property under arbitrary nonzero initial conditions. The proofs of the property give a geometrical explanation on why the normalization guarantees the convergence. An additional contribution is that the static function in the Hammerstein system is extended to non-odd functions.

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© 2011 Springer-Verlag Berlin Heidelberg

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Zhao, G., Li, G., Wen, C., Yang, F. (2011). On the Convergence of Iterative Identification of Hammerstein Systems. In: Lee, G. (eds) Advances in Automation and Robotics, Vol.1. Lecture Notes in Electrical Engineering, vol 122. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25553-3_38

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  • DOI: https://doi.org/10.1007/978-3-642-25553-3_38

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25552-6

  • Online ISBN: 978-3-642-25553-3

  • eBook Packages: EngineeringEngineering (R0)

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