Fractional-Order Control of a Micrometric Linear Axis

Table 1

𝜁-𝜓  combinations with dimensionless settling energy equivalent to the pure PD control with 𝜁=1.2.

Parameter set	𝜁	𝜓	Overshoot (%)	Dimensionless settling time	Dimensionless rise time
a1.2	1.2	0	10.42	5.61	0.67
b1.2	1	1.851	14.34	3.26	0.48
c1.2	0.8	2.193	17.39	2.87	0.48
d1.2	0.6	2.223	21.02	2.72	0.51
e1.2	0.4	2.073	26.04	2.71	0.55
f1.2	0.2	1.799	33.99	4.22	0.61
g1.2	0	1.375	49.64	8.46	0.69