Improving a reaction curve-based analytical identification technique for fractional models
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2025-03
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Springer Science and Business Media Deutschland GmbH
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A new analytical procedure for identifying fractional first-order plus dead-time (FFOPDT) models has recently been proposed. The technique is applicable to systems with S-shaped step responses and involves selecting three specific points on the process response curve for parameter estimation. In a simplified version of the method, the points are symmetrically positioned as x1=x%, x2=50%, and x3=(100-x)%, with 0<x<50%, requiring only the optimal position of one point, x, given that the others are set automatically. This study explores the effect of adjusting the value of x2 in the representative points (x-x2-(100-x)%), while preserving symmetry around the center of the interval. Simulations provide insights into the influence of x2 for more accurate estimation, revealing that the accuracy of the identified FFOPDT model is highly sensitive to the position of x2, and an optimal value is proposed to enhance precision. Experimental validation on a thermal-based prototype deployed on a microprocessor confirms the technique’s applicability. This approach provides new insights into selecting the central point x2 and its implications for industrial applications.
Palabras clave
Fractional models
Fractional systems
Identification method
Process identification
Fractional systems
Identification method
Process identification
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Materias
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Gude, J. J., & García Bringas, P. (2025). Improving a reaction curve-based analytical identification technique for fractional models. International Journal of Dynamics and Control, 13(3). https://doi.org/10.1007/S40435-025-01604-X