Research Article
Optimization of Integer Order Integrators for Deriving Improved Models of Their Fractional Counterparts
Table 6
Comparisons of RME values of the proposed half integrators based on optimized DIs with the existing models.
| ( rad) |
Proposed half integrators based on 2nd order PSO optimized DI |
Proposed half integrators based on 3rd order PSO optimized DI | Gupta-Madhu-Jain half integrator | Krishna half integrator | | | | | |
| 0.25 | −15.79 | −24.55 | −43.25 | −15.79 | −29.26 | −35.53 | −17.42 | 0.5 | −17.52 | −38.74 | −55.85 | −17.52 | −38.97 | −53.62 | −28.31 | 0.75 | −25.82 | −41.56 | −85.14 | −25.81 | −42.61 | −53.65 | −35.56 | 1.0 | −58.3 | −58.3 | −55.44 | −64.01 | −74.75 | −45.26 | −42.05 | 1.25 | −31.25 | −57.34 | −53.48 | −31.13 | −50.67 | −38.93 | −37.13 | 1.75 | −28.94 | −81.15 | −75.32 | −29.82 | −58.25 | −33.59 | −40.57 | 2.0 | −32.62 | −75.83 | −55.54 | −32.62 | −73.25 | −34.88 | −46.46 | 2.25 | −41.43 | −57.13 | −48.99 | −41.15 | −58.93 | −43.69 | −55.28 | 2.75 | −32.99 | −59.6 | −59.6 | −36.33 | −46.94 | −32.6 | −29.8 | 3.0 | −29.56 | −56.03 | −47.75 | −28.27 | −46.74 | −33.74 | −24.3 |
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