Algorithmic Techniques for Modeling Nonlinear Functions

  • Lester A. Gerhardt
  • Takatoshi Miura


Algorithmic Techniques are derived and applied to the problem of modeling nonlinear functions. Two general approaches are considered. The first uses zero order quantizers with adaptable parameters to approximate the given nonlinearity. The second makes use of algorithmic techniques to establish successively better estimates of the coefficients of a Chebyshev polynomial representation of a nonlinear function, with particular emphasis on a hysteresis nonlinearity. Algorithms are derived, convergence considered and results given for each case.


Convergence Algorithm Algorithmic Technique Hysteresis Nonlinearity Initial Gain Continuous Monotonic Function 


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Copyright information

© Plenum Press, New York 1974

Authors and Affiliations

  • Lester A. Gerhardt
    • 1
  • Takatoshi Miura
    • 2
  1. 1.Rensselaer Polytechnic Inst.TroyUSA
  2. 2.Kokushikan UniversityTokoyoJapan

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