Research Article
Singularly Perturbation Method Applied To Multivariable PID Controller Design
Table 1
Optimum PID parameter for WWTP based on PSO.
| Method | Original system | Singularly perturbed system | | | | Time (s) | | | | Time (s) |
| Davison | — | 0.9723 | | 1173.7 | — | 0.7949 | | 355.5019 | Penttinen-Koivo | — | 1.7730 | 0.5741 | 49.7979 | — | 1.2010 | 0.7925 | 10.4767 | Maciejowski | — | 9.8842 | 5.3998 | 247.4416 | — | 1.6729 | 9.4042 | 69.9072 | Combined | 0.8843 | 7.8907 | 9.5949 | 370.6488 | 0.7927 | 9.4458 | 7.5924 | 132.5115 |
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