Table 2 Numerical results of \({U}_{shoot}\), \({O}_{shoot}\) and \({t}_{set}\) for \(\Delta {f}_{1}\), \(\Delta {f}_{2}\) and \(\Delta {P}_{tie}\).
Response | Control approach | \({U}_{shoot}\) | \({O}_{shoot}\) | \({t}_{set}\) |
|---|---|---|---|---|
\(\Delta {f}_{1}\) | SCHO-based PI (proposed) | − 0.1569 | 0.0209 | 1.6231 |
SSA-based PI | − 0.2327 | 0.0611 | 1.9059 | |
WOA-based PI | − 0.2196 | 0.0974 | 2.1045 | |
FA-based PI | − 0.3063 | 0.1565 | 4.8609 | |
\(\Delta {f}_{2}\) | SCHO-based PI (proposed) | − 0.2217 | 0.0459 | 2.4615 |
SSA-based PI | − 0.2576 | 0.0699 | 2.6428 | |
WOA-based PI | − 0.2670 | 0.1017 | 5.7759 | |
FA-based PI | − 0.2757 | 0.1376 | 5.6082 | |
\(\Delta {P}_{tie}\) | SCHO-based PI (proposed) | − 0.0296 | 0.0228 | 1.9986 |
SSA-based PI | − 0.0379 | 0.0325 | 2.3188 | |
WOA-based PI | − 0.0479 | 0.0377 | 4.3108 | |
FA-based PI | − 0.0505 | 0.0364 | 2.5018 |
