Table 2 Comparison of time response, stability performance, and closed-loop poles with damping ratio for different controllers.
From: Performance and robustness analysis of V-Tiger PID controller for automatic voltage regulator
Controller type | Time response specifications | Stability performance | Closed loop poles and damping ratio (ξ) | |||
|---|---|---|---|---|---|---|
Tr (s) | Ts (s) | %Os | GM (dB) | PM (Deg) | ||
No controller | 0.437 | 6.99 | 50.53 | 4.62@5.77 | 16.1@4.4 | P1 = − 100, P2 = − 12.5 with ξ = 1 P3&4 = − 0.51 ± i 4.66 with ξ = 0.11 |
V-Tiger-PID | 0.219 | 0.931 | 7.32 | 23@30.2 | 60@5.91 | P1 = − 100.78, with ξ = 1 P2&3 = − 1.40 ± i 0.25 with ξ = 0.985 P4&5 = − 4.96 ± i 7.15 with ξ = 0. 57 |
FPA-PID | 0.215 | 0.10 | 29.5 | 18@20.1 | 42.1@5.33 | P1 = − 100.59, with ξ = 1 P2&3 = − 3.01 ± i 0.74 with ξ = 0.971 P4&5 = − 3.45 ± i 5.06 with ξ = 0. 563 |
TLbO-PID | 0.226 | 1.49 | 30.4 | 18.9@20 | 42@5.01 | P1 = − 100.54, with ξ = 1 P2&3 = − 3.14 ± i 1.37 with ξ = 0.916 P4&5 = − 3.34 ± i 4.47 with ξ = 0. 598 |
PIR-PID | 0.202 | 2.28 | 51.20 | 18.2@18.7 | 29@4.94 | P1 = − 100.51, with ξ = 1 P2&3 = − 1.55 ± i 4.28 with ξ = 0.341 P4&5 = − 4.94 ± i 2.39 with ξ = 0.9 |
ZN-PID | 0.236 | 3.04 | 50.30 | 19.5@17.1 | 27.6@4.4 | P1 = − 100.86, with ξ = 1 P2&3 = − 5.06 ± i 7.53 with ξ = 0.341 P4&5 = − 12.6 ± i 1.9 with ξ = 0.558 |
