Table 3 Comparative analysis with absolute error of \(x\left(t\right), y\left(t\right)\text{and} z(t)\) between reference and LENN-FA-AOA solution for scenario 2.
\(t\) | \(x(t)\) | \(y(t)\) | \(z(t)\) | \(\widehat{x}(t)\) | \(\widehat{y}(t)\) | \(\widehat{z}(t)\) | \(A{E}_{x(t)}\) | \(A{E}_{y(t)}\) | \(A{E}_{z(t)}\) |
|---|---|---|---|---|---|---|---|---|---|
0 | 0.4 | 0.4 | 0.4 | 0.400001 | 0.399997 | 0.399992 | 1.23E-06 | 3.21E-06 | 7.73E-06 |
0.1 | 0.399573 | 0.357514 | 0.431772 | 0.399579 | 0.357509 | 0.431791 | 6.28E-06 | 4.62E-06 | 1.95E-05 |
0.2 | 0.398342 | 0.317882 | 0.463138 | 0.398361 | 0.317881 | 0.463137 | 1.94E-05 | 8.59E-07 | 1.04E-06 |
0.3 | 0.396377 | 0.280865 | 0.494175 | 0.396391 | 0.280858 | 0.494162 | 1.44E-05 | 6.76E-06 | 1.27E-05 |
0.4 | 0.393742 | 0.246248 | 0.524965 | 0.393741 | 0.246238 | 0.52498 | 7.23E-07 | 1.03E-05 | 1.49E-05 |
0.5 | 0.390496 | 0.213839 | 0.555592 | 0.390488 | 0.213834 | 0.555624 | 8.42E-06 | 4.6E-06 | 3.25E-05 |
0.6 | 0.386693 | 0.183464 | 0.586142 | 0.386692 | 0.183464 | 0.586152 | 7.04E-07 | 7.27E-08 | 1.03E-05 |
0.7 | 3.82E-01 | 1.55E-01 | 6.17E-01 | 3.82E-01 | 1.55E-01 | 6.17E-01 | 1.42E-05 | 5.36E-06 | 2.27E-05 |
0.8 | 0.377611 | 0.128206 | 0.647359 | 0.37763 | 0.128193 | 0.647341 | 1.86E-05 | 1.26E-05 | 1.76E-05 |
0.9 | 0.37242 | 0.103052 | 0.678202 | 0.372424 | 0.103044 | 0.678231 | 4.05E-06 | 7.25E-06 | 2.92E-05 |
1 | 0.366849 | 0.079388 | 0.70932 | 0.366847 | 0.079386 | 0.709349 | 2.14E-06 | 2.52E-06 | 2.89E-05 |