Research Article

Hammerstein Box-Jenkins System Identification of the Cascaded Tanks Benchmark System

Table 2

A comparison of MSE results using different approaches from previous studies using the validated dataset.

MethodMSE (training)MSE (validation)

PNLSS-I (polynomial nonlinear state space)0.03240.4498
NLSS20.11650.3433
BLA (best linear approximation)0.54710.7574
Volterra models (3rd degree) (transient removal) 0.5400
Volterra models (3rd degree) (no transient est.) 2.0800
Proposed HBJ0.00450.0087