Research Article
Fractional-Order Control of a Micrometric Linear Axis
Table 2
combinations with dimensionless settling energy equivalent to the pure PD control with
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| Parameter set | | | Overshoot (%) | Dimensionless settling time | Dimensionless rise time |
| a1.0 | 1.0 | 0 | 13.39 | 5.41 | 0.73 | | 0.833333 | 1.235 | 16.42 | 3.64 | 0.57 | | 0.666 | 1.461 | 19.69 | 3.27 | 0.58 | | 0.5 | 1.457 | 23.89 | 3.14 | 0.61 | | 0.333 | 1.314 | 30.00 | 4.46 | 0.66 | | 0.1666 | 1.054 | 40.42 | 7.24 | 0.74 | | 0.1 | 0.8962 | 47.43 | 7.94 | 0.79 |
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