Table 9 Values of the OF following 20 rounds of optimization algorithms using various controllers.
Controller | \({\text{FOPID}}\, \times \,10^{ - 6}\) | \({\text{PI}}\, \times \,10^{ - 6}\); \({\text{PID}}\, \times \,10^{ - 6}\) | ||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Algorithm | HAALO | PSO | PPSO | ALO | GEO | RIME | GA | HAALO | PSO | PPSO | ALO | GEO | RIME | GA |
Best | 1.5824 | 4.9982 | 3.0050 | 2.2183 | 2.9785 | 1.7234 | 3.9215 | 2.5415 | 5.8413 | 3.0052 | 2.8516 | 2.6872 | 3.0472 | 7.2195 |
Worst | 3.2251 | 8.3945 | 5.9413 | 3.8516 | 5.3416 | 4.8416 | 6.9816 | 5.4168 | 9.5513 | 6.8416 | 5.7143 | 5.3419 | 7.1642 | 10.631 |
Mean | 2.0046 | 5.7923 | 4.0053 | 2.4167 | 3.9541 | 3.7719 | 5.1972 | 3.5572 | 6.9417 | 4.0286 | 3.5419 | 4.8816 | 5.9981 | 9.9513 |