Mathematical Problems in Engineering / 2016 / Article / Tab 2

Research Article

Advanced Fireworks Algorithm and Its Application Research in PID Parameters Tuning

Table 2

Statistical results.

Function Pa.Z-NAFWEFWPSO
ITAEITUEITAEITUEITAEITUEITAEITUE

() 5.2250.45360.01740.36460.08140.36490.08140.3672
13.30210.67710.2594300.2873300.2791
1.21647.51842.9116303.1724303.31
12.02857.51082.906422.27513.169422.2753.2908
0.4891.310.7351.20.7351.16
4.36%0%0%4.74%0%4.74%0.0649%

() 0.059740.10080.10460.00160.10430.00160.1223
1.150423.13110.59098.66330.78178.74252.7446
0.777200300309.2965
0.07052.08090.0520.363040.099860.36460.1514
0.5870.06430.2880.1550.3420.1540.375
10.4%49.7%0%25.2%0%25.3%8.12%

() 23.297.80.00420.12110.00390.11900.00610.1226
0.027121.64081.3742301.1759301.4559
0.00432.183011.782924.27969.20613013.6554
0.08660.740080.1256115.26780.1053.11360.14221
23.90.09380.670.07180.8080.06970.59
7.41%43.5%3.77%75.7%4.26%57.3%3.9%

() 13.192.9380.10550.52650.43580.52650.43580.5265
0.74845.26442.8763302.8741302.8886
0.0020000000
2.679129.980714.62363014.6233014.6463
21.12.41.072.852.412.852.39
5.04%0.784%0.0349%18.9%0.778%18.9%0.804%

() 5.670.90950.12110.69711.18800.69741.18800.6985
21.58011.76230.94238300.95494301.0341
0.921922.5081.247611.32511.284911.32531.3078
3029.519714.64833015.07043015.1394
0.7062.731.186.072.666.072.54
10%0%0%26.1%0.0874%26.1%0.449%

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