Table 3 Performance parameters of LFC with 2-DOF PID, FOPIDF, and PID controllers
Controller | \(\Delta F_{1}\) | \(\Delta F_{2}\) | \(\Delta F_{3}\) | \(\Delta P_{{1 - \Delta F_{1} 2}}\) | \(\Delta P_{2 - 3}\) | \(\Delta P_{3 - 1}\) |
|---|---|---|---|---|---|---|
2-DOF PID | ||||||
Settling time | 5.1195 | 5.6145 | 3.336 | 7.154 | 8.399 | 5.345 |
Maximum deviation | − 0.007548 | -0.005649 | -0.006749 | − 15.42 × 10−5 | − 8.201 × 10−5 | − 19.64 × 10−5 |
FOPIDF | ||||||
Settling time | 5.654 | 7.334 | 5.654 | 8.722 | 9.973 | 5.542 |
Maximum deviation | − 0.0124 | 0.01117 | − 0.001626 | − 44.83 × 10−5 | − 26.74 × 10−5 | − 65.57 × 10−5 |
PIDF | ||||||
Settling time | 6.518 | 7.52 | 7.961 | 9.177 | 8.988 | 8.234 |
Maximum deviation | − 0.01643 | − 0.013 | − 0.002249 | − 52.69 × 10−5 | − 4.036 × 10−5 | − 84.69 × 10−5 |