Table 7 Optimization techniques with PID controller poles and damping ratios.
HS-DMOA-PIDA | Pole | -550 | -100 | -1.01 | -5.69 + 7.38i | -5.69–7.38i | -0.94 + 1.19i | -0.94–1.19i |
Damping ratio | 1 | 1 | 1 | 0.6106 | 0.6106 | 0.6228 | 0.6228 | |
LUS-PIDA6 | Pole | -551 | -101 | -1.01 | -5.69 + 7.38i | -5.69–7.38i | -0.95 + 1.19i | -0.95–1.19i |
Damping ratio | 1 | 1 | 1 | 0.611 | 0.611 | 0.623 | 0.623 | |
HAS-PIDA6 | Pole | -564 | -101 | -0.596 | -5.59 + 6.97i | -5.59–6.97i | -1.31 + 1.27i | -1.31–1.27i |
Damping ratio | 1 | 1 | 1 | 0.625 | 0.625 | 0.718 | 0.718 | |
TLBO-PIDA6 | Pole | -548 | -101 | -0.855 | -5.47 + 7.29i | -5.47–7.29i | -1.23 + 1.08i | -1.23–1.08i |
Damping ratio | 1 | 1 | 1 | 0.6 | 0.6 | 0.751 | 0.751 |