Table 2 Specifications of time-domain (STD) of HOURV controller and its LOURV models

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

System and approximants

Specifications of time-domain (STD)

Rise time (s)

Settling time (s)

Peak (%)

Peak time (s)

Undershoot (%)

HOURV System (30)

0.2728

5.5463

0.5313

11.3237

0

Proposed model (43)

2.5830

5.2662

0.5307

9.1621

0

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

2.0939

4.0740

0.3544

9.4167

0

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

2.9095

5.4173

1.0628

10.8675

0

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

3.5601

6.5148

1.0628

12.9245

0

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

0.0216

0.0399

0.5297

0.1021

0

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

0.0005651

6.3791

1.0383

0.2582

\(1.057\times 10^{04}\)

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

0.0005647

7.4312

0.9122

0.2454

\(9.272\times 10^{03}\)

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

0.0001881

4.9579

0.4637

0.1313

\(1.419\times 10^{04}\)