Research Article
Optimization of Integer Order Integrators for Deriving Improved Models of Their Fractional Counterparts
Table 4
Statistical test for comparison of proposed PSO and GA techniques for approximations of 2nd and 3rd order digital integrators.
| ā | Genetic algorithm | Modified PSO algorithm |
| Approximating 2nd order digital integrator for comparing PSO and GA | | | | | | | | Mean | 0.915405 | 0.230096 | 0.0874599 | 0.614370 | 0.201256 | 0.0936231 | Median | 0.482815 | 0.194402 | 0.075695 | 0.491575 | 0.114377 | 0.0488172 | Standard deviation | 0.737526 | 0.131617 | 0.0400587 | 0.43579 | 0.137471 | 0.042671 |
| Approximating 3rd order digital integrator for comparing PSO and GA | | | | | | | | Mean | 0.915406 | 0.230096 | 0.0874599 | 0.633554 | 0.221398 | 0.0969881 | Median | 0.1478565 | 0.069402 | 0.02937085 | 0.1801123 | 0.1207528 | 0.0861992 | Standard deviation | 0.737526 | 0.131617 | 0.0400587 | 0.491451 | 0.152073 | 0.0530145 |
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