Table 6 Optimization techniques time indices response using PID controller.
Optimization method | Ka | Kd | Kp | Ki | α | β | Maximum overshoot | Rise time (sec.) | Settling time (sec.) |
|---|---|---|---|---|---|---|---|---|---|
HS-DMOA-PIDA | 129.207 | 527.119 | 905.561 | 356.811 | 508.905 | 890.241 | 1 | 0.273 | 0.932 |
HSA-PIDA[6] | 143.256 | 520.545 | 845.675 | 360.278 | 565.45 | 970.784 | 1 | 0.313 | 1.16 |
LUS-PIDA[6] | 149.096 | 486.846 | 783.442 | 447.048 | 552.567 | 919.971 | 1.0320 | 0.322 | 2.73 |
TLBO-PIDA[6] | 150 | 550 | 850 | 421.6 | 550 | 900 | 1.002 | 0.273 | 1.06 |
HS-DMOA-PIDÂ [6] | N/A | 0.2009 | 1.0040 | 0.3347 | N/A | N/A | 1.08 | 0.3 | 1.1 |
