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Table 1 Comparison of proposed SGWO with other techniques for unimodal 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

f1

18.0038

42.5623

0.000136

0.000202

2.53E-16

9.67E-17

6.59E-28

6.34E-5

4.07E−32

1.510E-31

f2

0.0178

0.0215

0.042144

0.045421

0.055655

0.194074

7.18E-17

0.029014

9.477E-20

1.239E-19

f3

8.0222E3

5.8196E3

70.12562

22.11924

896.5347

318.9559

3.29E-06

7.91495E-5

8.97E-8

2.407E-7

f4

34.5259

12.0554

1.086481

0.317039

7.35487

1.741452

5.61E-07

1.315088

9.78E-8

1.289E-7

f5

1.0104E5

3.7340E5

96.71832

60.11559

67.54309

62.22534

26.81258

0.8028

26.7796

0.5535

f6

18.8163

26.9175

0.000102

8.28E-05

2.5E-16

1.74E-16

0.816579

0.3437

0.9256

0.2949

f7

0.1218

0.0995

0.122854

0.044957

0.089441

0.04339

0.002213

0.10028

0.0016

0.0009