Fractional-Order Control of a Micrometric Linear Axis

Table 2

𝜁-𝜓  combinations with dimensionless settling energy equivalent to the pure PD control with 𝜁=1.

Parameter set	𝜁	𝜓	Overshoot (%)	Dimensionless settling time	Dimensionless rise time
a1.0	1.0	0	13.39	5.41	0.73
b1.0	0.833333	1.235	16.42	3.64	0.57
c1.0	0.666	1.461	19.69	3.27	0.58
d1.0	0.5	1.457	23.89	3.14	0.61
e1.0	0.333	1.314	30.00	4.46	0.66
f1.0	0.1666	1.054	40.42	7.24	0.74
g1.0	0.1	0.8962	47.43	7.94	0.79