Research Article Open Access

On Fractional Hold Devices Versus Positive Realness of Discrete Transfer Functions

M. de la Sen and A. Bilbao- Guillerna

Abstract

The appropriate use of fractional order holds (β-FROH) of correcting gains βε[-1,1] as an alternative to the classical zero and first order -holds (ZOH, FOH) is discussed related to the positive realness of the associate discrete transfer functions obtained from a given continuous transfer function. It is proved that the minimum direct input-output gain (i.e. the quotient of the leading coefficients of the numerator and denominator of the transfer function) needed for discrete positive realness may be reduced by the choice of β compared to that required for discretization via ZOH.

American Journal of Applied Sciences
Volume 2 No. 3, 2005, 672-675

DOI: https://doi.org/10.3844/ajassp.2005.672.675

Submitted On: 24 May 2006 Published On: 31 March 2005

How to Cite: de la Sen, M. & Bilbao- Guillerna, A. (2005). On Fractional Hold Devices Versus Positive Realness of Discrete Transfer Functions. American Journal of Applied Sciences, 2(3), 672-675. https://doi.org/10.3844/ajassp.2005.672.675

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Keywords

  • Zero
  • First and Fractional order -holds
  • Positive realness