Table 3 Performance error values (PEVs) of HOURV controller and its LOURV models

From: A novel approximation of underwater robotic vehicle controller exploiting multi-point matching

HOURV System (30) vs LOURV models

Performance Error Values (PEVs)

IAE

ISE

ITAE

ITSE

IT\(^2\)AE

IT\(^2\)SE

Proposed Model (43)

0.180903

0.034234

0.152121

0.014230

0.403700

0.008130

Model \({W}^*_{2(Diff)}(s)\) (44)

1.624736

0.274808

8.454500

1.437018

57.429889

9.897093

Model \({W}^*_{2(Diff-RA)}(s)\) (45)

4.598561

2.262194

25.645818

13.256049

174.959655

91.852348

Model \({W}^*_{2(Diff-DT)}(s)\) (46)

4.345791

2.057186

24.872123

12.544000

171.583581

88.526922

Model \({W}^*_{2(FD)}(s)\) (47)

0.380950

0.056639

0.628002

0.040192

1.939324

0.068294

Model \({W}^*_{2(FD-RA)}(s)\) (48)

4.095645

1.895552

23.053487

11.132869

163.306272

81.224230

Model \({W}^*_{2(FD-DT)}(s)\) (49)

3.883530

1.724812

22.484244

10.655955

160.447493

78.625718

Model \({W}^*_{2(FD-Diff)}(s)\) (50)

4.358950

2.082206

24.960694

12.658655

172.057285

89.006414