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.
| Method | MSE (training) | MSE (validation) |
| PNLSS-I (polynomial nonlinear state space) | 0.0324 | 0.4498 | NLSS2 | 0.1165 | 0.3433 | BLA (best linear approximation) | 0.5471 | 0.7574 | Volterra models (3rd degree) (transient removal) | ā | 0.5400 | Volterra models (3rd degree) (no transient est.) | ā | 2.0800 | Proposed HBJ | 0.0045 | 0.0087 |
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