Research Article

Influence of the Selection of Reaction Curve’s Representative Points on the Accuracy of the Identified Fractional-Order Model

Table 14

FFOPDT model parameters for the considered sets of representative points (5–50-95%), (10–50–90%), (15–50–85%), (20–50–80%), (25–50–75%), and (30–50–70%), respectively.

Method #1: 5–50–95%Method #2: 10–50–90%Method #3: 15–50–85%Method #4: 20–50–80%Method #5: 25–50–75%Method #6: 30–50–70%

K1 = 1.0000K2 = 1.0000K3 = 1.0000K4 = 1.0000K5 = 1.0000K6 = 1.0000
T1 = 2.3318 sT2 = 2.3011 sT3 = 2.2834 sT4 = 2.2688 sT5 = 2.2666 sT6 = 2.2418 s
L1 = 0.3742 sL2 = 0.4724 sL3 = 0.4041 sL4 = 0.4057 sL5 = 0.3901 sL6 = 0.4175 s
α1 = 0.8719α2 = 0.8882α3 = 0.8992α4 = 0.9067α5 = 0.9122α6 = 0.9143