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