Table 8 Comparative normalized time response metrics using documented studies.
Control method | Normalized settling time (s) | Normalized overshoot (%) | \(\:ITAE\) (\(\:{t}_{fault}=10\) s and \(\:{t}_{sim}=50\) s) | Steady-state error (kPA) |
|---|---|---|---|---|
EEFO based PI-PDN (proposed) | 13.1799 | 2.5609 | 2.6957 | 5.7304E − 07 |
CSA based FOPID8 | 17.0509 | 12.0526 | 14.3100 | 6.5730E − 04 |
RIME based FOPID8 | 17.6610 | 17.7156 | 15.9775 | 0.0053 |
GWO based PI12 | 19.8228 | 21.0680 | 23.8138 | 1.0680E − 04 |
GA based PI12 | 28.2457 | 43.5800 | 64.5673 | 0.0059 |