Table 3 Optimum gains of proposed and other controllers.
Controller-Algorithm | KP | KI | KD | N | KPP | KDD | λ | μ |
|---|---|---|---|---|---|---|---|---|
GEO-PIDn(1+PD) (Proposed) | 0.001 | 25.8837 | 30.6391 | 233.7273 | 0.001 | 13.2283 | 0 | 0 |
OCSANM-FOPID46 | 47.4243 | 5.3645 | 0.01 | 0 | 0 | 0 | 1.0496 | 1.1234 |
CSA-FOPID46 | 27.0475 | 1.6971 | 0.01 | 0 | 0 | 0 | 0.8699 | 1.1234 |
LFDSA-FOPID48 | 14.8853 | 5.1086 | 0.00982 | 0 | 0 | 0 | 1.0056 | 1.0829 |
IHGS-FOPID49 | 37.6492 | 5.4315 | 0.01758 | 0 | 0 | 0 | 1.0167 | 1.0285 |
HHO-FOPID50 | 22.4084 | 9.9634 | 0.00977 | 0 | 0 | 0 | 1.0081 | 1.0523 |
AEONM-PID40 | 16.8278 | 1.1742 | 0.00992 | 0 | 0 | 0 | 1 | 1 |
AEO-PID40 | 33.1153 | 7.9506 | 0.00943 | 0 | 0 | 0 | 1 | 1 |
PSO-PID40 | 37.1502 | 3.7255 | 0.00821 | 0 | 0 | 0 | 1 | 1 |
DE-PID40 | 27.6235 | 1.3043 | 0.00873 | 0 | 0 | 0 | 1 | 1 |
SA-PID19 | 40.3741 | 9.45461 | 0.007808 | 0 | 0 | 0 | 1 | 1 |
WOA-PID19 | 43.5764 | 7.85992 | 0.008994 | 0 | 0 | 0 | 1 | 1 |
WOSAT-PID19 | 16.893 | 3.20991 | 0.009948 | 0 | 0 | 0 | 1 | 1 |
HHO-PID50 | 17.1269 | 3.7594 | 0.00947 | 0 | 0 | 0 | 1 | 1 |
GA-PID51 | 24.1506 | 7.5391 | 0.00778 | 0 | 0 | 0 | 1 | 1 |