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. 2025 Oct 14;15:35926. doi: 10.1038/s41598-025-19710-3

Table 2.

Area 1 controllers optimal gains (T-G-S).

Sl. No Controller Area-1 subjected to 10% SLP
K1 K2 Kp1 Ki1 Kd1 Kd11 ʎ1 µ1
1 GA:PID 4.9983 4.9993 1.5462
2 CSOA:PID 3.012 3.004 2.998
3 CSOA:PIDD 10.001 10.011 2.6012 0.013
4 CSOA:FOPID 29.998 8.7544 29.999 − 0.99 1
5 CSOA:FOPID + PFC 12.6848 28.9854 29.9763 8.3228 29.999 − 0.98 0.991
6 CSOA:FOPID + PFC with EV and ESU 12.8486 28.4589 29.3679 8.8223 29.97 − 0.97 0.993