Research Article
A Modified NM-PSO Method for Parameter Estimation Problems of Models
Table 4
Results of Case
2 (A second-order system).
| Method | | | | | Population size | Iterations | SSE |
| GA [5] | 43.2233 | 30.8774 | 0.6170 | −0.2812 | — | 100 | 0.4396 | GA [5] | 40.8112 | 33.3234 | 0.6400 | −0.2464 | — | 200 | 0.3859 | GA [5] | 37.7414 | 36.3533 | 0.6753 | −0.2123 | — | 500 | 0.3347 | RGA [7] | 42.5032 | 31.5469 | 0.6265 | −0.2749 | 80 | 100 | 0.4315 (0.3204)* | RGA [7] | 41.4371 | 32.6713 | 0.6346 | −0.2563 | 80 | 200 | 0.3969 (0.2827)* | DE [9] | 36.0250 | 38.1356 | 0.6933 | −0.1895 | — | 100 | 0.3260 | DE [9] | 34.1450 | 39.9841 | 0.7155 | −0.1702 | — | 300 | 0.2963 | DE [9] | 34.1266 | 40.0000 | 0.7157 | −0.1699 | — | 500 | 0.2960 | MDE [9] | 35.4350 | 38.6848 | 0.6987 | −0.1823 | — | 100 | 0.3142 | MDE [9] | 34.1266 | 40.0000 | 0.7157 | −0.1699 | — | 300 | 0.2960 | MDE [9] | 34.1266 | 40.0000 | 0.7157 | −0.1699 | — | 500 | 0.2960 | PSO [6] | 30.0761 | 44.0683 | 0.7680 | −0.1279 | 20 | 100 | 0.2851 | PSO [6] | 30.7589 | 43.3814 | 0.7587 | −0.1348 | 20 | 200 | 0.2847 | NM-PSO [6] | 30.5386 | 43.6025 | 0.7617 | −0.1326 | 21 | 60 | 0.2847 |
| M-NM-PSO | 30.8616 | 43.2783 | 0.7573 | −0.1358 | 21 | 53 | 0.2847 |
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*Given the estimated values of , , , and , the SSE values of the RGA [7] should be 0.4315 and 0.3969, rather than 0.3204 and 0.2827, respectively.
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