Table 5 Dynamic response parameters of the ATMG adopting fuzzy SMC with PID type sliding surface using PSO/GWO/GTO algorithms.
Cases | Optimization algorithms | Dynamic response parameters and performance indices | ||||||
|---|---|---|---|---|---|---|---|---|
Us (Hz) | Os (Hz) | Ts (s) | ISE | ITSE | IAE | ITAE | ||
Case 1 | PSO | -0.2003 | -- | 26 | 0.02049 | 0.009286 | 0.1576 | 0.1011 |
GWO | -0.1896 | -- | 12 | 0.01802 | 0.008022 | 0.1469 | 0.09148 | |
GTO | -0.0796 | -- | 8 | 0.00755 | 0.0033 | 0.063 | 0.0689 | |
Case 2 | PSO | -0.062 | -- | 36 | 0.003438 | 0.06488 | 0.1548 | 2.820 |
GWO | -0.040 | -- | 32 | 0.0008758 | 0.01827 | 0.04636 | 0.9809 | |
GTO | -0.021 | -- | 26 | 0.0004485 | 0.009295 | 0.02544 | 0.5192 | |
Case 3 | PSO | -0.595 | 0.645 | 32 | 0.02838 | 0.4209 | 0.6626 | 10.06 |
GWO | -0.425 | 0.462 | 28 | 0.02032 | 0.3014 | 0.4744 | 7.221 | |
GTO | -0.073 | 0.08 | 25 | 0.003504 | 0.0519 | 0.0818 | 1.245 | |
Case 4 | PSO | -0.221 | 0.053 | 42 | 0.0590 | 0.6405 | 1.077 | 17 |
GWO | -0.115 | 0.028 | 36 | 0.0310 | 0.3371 | 0.567 | 9.04 | |
GTO | -0.023 | 0.0018 | 24 | 0.0062 | 0.06742 | 0.1134 | 1.801 | |
Case 5 | PSO | -0.624 | 0.265 | 33 | 0.2235 | 3.781 | 1.481 | 22.52 |
GWO | -0.458 | 0.201 | 31 | 0.1676 | 2.836 | 1.111 | 16.89 | |
GTO | -0.124 | 0.05 | 28 | 0.0447 | 0.7562 | 0.2962 | 4.504 | |
Case 6 | PSO | -0.225 | -- | 25 | 0.02087 | 0.01467 | 0.338 | 1.086 |
GWO | -0.113 | -- | 20 | 0.01022 | 0.007322 | 0.161 | 0.8035 | |
GTO | -0.098 | -- | 16 | 0.00777 | 0.005794 | 0.1458 | 0.7776 | |
