Table 2 Performance of various controllers and its parameters in the second-order system.
From: A novel fractional-order dead-time compensating controller for the wireless networks
Controller | \(K_p\) | \(K_i\) | \(\lambda\) | \(t_r\) | \(t_{s1}\) | \(t_{s2}\) | %OS | ISE | IAE | ITAE |
|---|---|---|---|---|---|---|---|---|---|---|
PI | 0.0124 | 0.106 | – | 7.6112 | 33.9700 | 135.3501 | 14.3002 | 47.431 | 36.581 | 5171.66 |
FOPI | 0.0124 | 0.106 | 0.98 | 8.0627 | 32.7790 | 133.3292 | 9.7129 | 48.065 | 37.989 | 5196.21 |
PPI | 0.0124 | 0.106 | – | 8.2931 | 34.2367 | 135.4559 | 10.8101 | 50.641 | 47.198 | 5434.47 |
FOPPI | 0.0124 | 0.106 | 0.98 | 8.3003 | 30.1915 | 130.1851 | 6.7409 | 36.813 | 35.984 | 5006.92 |
Wireless | 0.0124 | 0.106 | 0.98 | 5.0014 | 60.6617 | 153.1894 | 37.5150 | 190.65 | 708.79 | 10788.19 |
Packet loss (70%) | 0.0124 | 0.106 | 0.98 | 6.1302 | 157.5020 | 0.00013 | 387.46 | 1796.8 | 22309.85 | |