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Table 2 Comparison of proposed SGWO with other techniques for multimodal benchmark test functions

From: Application of a simplified Grey Wolf optimization technique for adaptive fuzzy PID controller design for frequency regulation of a distributed power generation system

F SCA PSO GSA GWO SGWO
Avg. Std. Dev Avg. Std. Dev Avg. Std. Dev Avg. Std. Dev Avg. Std. Dev
f8 -3.7209E3 0.2587E3 − 4841.29 1152.814 − 2821.07 493.0375 − 6123.1 − 4087.44 −5.6287E3 0.9503E3
f9 45.6190 31.4763 46.70423 11.62938 25.96841 7.470068 0.310521 47.35612 0.6186 1.8970
f10 15.1791 8.4852 0.276015 0.50901 0.062087 0.23628 1.06E-13 0.07783E-13 3.322E-14 5.93E-15
f11 0.9576 0.6136 0.009215 0.007724 27.70154 5.040343 0.004485 0.006659 0.0025 0.007
f12 0.6073E5 3.0109E5 0.006917 0.026301 1.799617 0.95114 0.053438 0.020734 0.0604 0.0329
f13 1.001E5 3.1194E5 0.006675 0.008907 8.899084 7.126241 −6123.1 −4087.44 0.7567 0.2869