Page 577 - Mathematical Techniques of Fractional Order Systems

Order 1:4319 3 10 23 6 4:2572 3 10 23 3:3456 3 10 26 6 4:6202 3 10 24 3:6685 3 10 26 6 3:3285 3 10 24 7:5097 3 10 26 6 6:9201 3 10 25 1:2839 3 10 25 6 4:0259 3 10 24 1:1375 3 10 25 6 3:4494 3 10 24 3:2565 3 10 25 6 6:5649 3 10 24 3:9396 3 10 26 6 1:6357 3 10 24 3:0929 3 10 24 6 1:1959 3 10 23 5:4552 3 10 24 6 1:4507

Fractional MSE 6 STD Best

Incommensurate 0:9805 6 7:6211 3 10 24 0:9801 6 1:6906 3 10 24 0:9802 6 1:8442 3 10 24 0:9801 6 5:6697 3 10 25 0:9801 6 1:6220 3 10 24 0:9801 6 2:0745 3 10 24 0:9801 6 1:1813 3 10 24 0:9800 6 8:7591 3 10 25 0:9801 6 2:9379 3 10 24 0:9802 6 2:6908 3 10 24 0:9801 6 1:3404 3 10 24 0:9792 6 1:3558 3 10 22

the q 3
for
MSE

of 0:9994 6 7:0836 3 10 24 0:9999 6 2:0036 3 10 24 0:9999 6 1:4353 3 10 24 1:0000 6 5:3116 3 10 25 0:9999 6 1:8251 3 10 24 0:9999 6 1:9032 3 10 24 0:9999 6 1:1072 3 10 24 1:0000 6 9:2788 3 10 25 0:9999 6 2:5243 3 10 24 0:9998 6 2:1632 3 10 24 0:9999 6 1:1578 3 10 24 0:9961 6 5:1493 3 10 23
STD q 2

and
Best
the 0:9903 6 7:8789 3 10 24 0:9900 6 1:1483 3 10 24 0:9901 6 1:8338 3 10 24 0:9901 6 9:3944 3 10 25 0:9901 6 2:0821 3 10 24 0:9900 6 1:3018 3 10 24 0:9902 6 3:4169 3 10 24 0:9900 6 9:9040 3 10 25 0:9901 6 4:1441 3 10 24 0:9902 6 5:3244 3 10 24 0:9901 6 2:4591 3 10 24 0:9877 6 7:9707 3 10 23
as
well q 1
as
Parameters 49:9849 6 2:1914 3 10 22 49:9970 6 3:3582 3 10 23 49:9932 6 7:1498 3 10 23 49:9968 6 3:3464 3 10 23 49:9954 6 5:2149 3 10 23 49:9984 6 2:6288 3 10 23 49:9983 6 4:2481 3 10 23 49:9991 6 2:2369 3 10 23 49:9951 6 9:9718 3 10 23 49:9899 6 1:7294 3 10 23 49:9946 6 6:9844 3 10 23 49:9575 6 5:7709 3 10 22

Estimated Algorithms γ

the
of Introduced 4:0000 6 8:1707 3 10 23 3:9998 6 2:4728 3 10 23 4:0008 6 1:4495 3 10 23 4:0008 6 1:1213 3 10 23 4:0002 6 2:3156 3 10 23 3:9993 6 2:0633 3 10 23 4:0010 6 3:1370 3 10 23 3:9997 6 1:3020 3 10 23 4:0002 6 3:0967 3 10 23 4:0008 6 4:4419 3 10 23 4:0004 6 2:6115 3 10 23 3:9801 6 1:8670 3 10 22
STD
and the σ
Mean by CGWO1 CGWO2 CGWO3 CGWO4 CGWO5 CGWO6 CGWO7 CGWO8 CGWO9 CGWO10

18.4 Model Algorithms GWO GOA
TABLE PMSM CGWO CGOA