Table 5 Qualitative comparison of reduced model performance parameters.

Proposed model

\(\frac{{153.0001{s^2}+4675.0253s+5053.1019}}{{{s^3}+33.8382{s^2}+451.2026s+396.9622}}\)

0.5210

2.2313

0.2248

0.4847

0.0084

1111.2

BTM MM [35]

\(\frac{{178.5{s^2}+4383s+4807}}{{{s^3}+32.19{s^2}+425.4s+377.6}}\)

0.5873

2.2805

0.7316

1.1655

0.1668

1239.8

BTM MCCF [37]

\(\frac{{146.4{s^2}+4383s+4807}}{{{s^3}+32.19{s^2}+425.4s+377.6}}\)

0.5473

2.2409

0.2438

0.5246

0.0131

1084.8

RAM FDM [38]

\(\frac{{90.8393{s^2}+319.0089s+246.0839}}{{{s^3}+9.662{s^2}+29.21s+19.33}}\)

0.2576

2.4747

2.7833

11.1759

15.7164

624.5073

R-method-GWOA [43]

\(\frac{{146.8{s^2}+4434s+4652}}{{1.037{s^3}+29.34{s^2}+431.2s+365.4}}\)

0.1426

2.4254

0.3568

2.9079

0.3718

1181.2

Routh Padé- HSA [44]

\(\frac{{148.1{s^2}+4399s+4726}}{{{s^3}+29.91{s^2}+429.2s+372}}\)

0.6129

2.3633

0.2607

14.9276

0.6146

1169.7

MPC FDM [45]

\(\frac{{127.0488{s^2}+4577.955s+5096.34132}}{{{s^3}+28.0758{s^2}+445.5854s+400.3255}}\)

0.1286

2.2824

0.6872

1.7006

0.382

1184

SEM MM [46]

\(\frac{{77.409{s^2}+271.5471s+209.4501}}{{{s^3}+8.2314{s^2}+24.8638s+16.4524}}\)

0.2704

2.5247

3.5486

14.2999

24.1149

563.8535

MPC [47]

\(\frac{{107.81735{s^2}+4590.7s+5096.4132}}{{{s^3}+31.0758{s^2}+448.5854s+400.3255}}\)

0.5566

2.2553

1.2803

0.8024

0.1015

1004.7