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Determination of Simplified Models by means of Chebyshev Polynomials

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Systems Analysis and Simulation I

Part of the book series: Advances in Simulation ((ADVS.SIMULATION,volume 1))

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Abstract

A method of simplifying the mathematical models described by high-order transfer functions is presented. The simplified transfer function is found by expanding the initial transfer function into a Chebyshev series and composing a rational approximation of this series. The time and frequency responses of the simplified model should ensure a good, in a sense of the norm assumed, approximation of these for the higher order models. The method presented provides better results than these in continued fraction method.

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References

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© 1988 Akademie-Verlag Berlin

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Halawa, J., Trzmielak-Stanisławska, A. (1988). Determination of Simplified Models by means of Chebyshev Polynomials. In: Sydow, A., Tzafestas, S.G., Vichnevetsky, R. (eds) Systems Analysis and Simulation I. Advances in Simulation, vol 1. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-6389-7_29

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  • DOI: https://doi.org/10.1007/978-1-4684-6389-7_29

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-97091-2

  • Online ISBN: 978-1-4684-6389-7

  • eBook Packages: Springer Book Archive

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