| Simulation information | Classical PID | Normal fuzzy PID | ELM fuzzy PID |
| Duration of simulation/s | 40 s (test I)/50 s (test II, III) | 40 s (test I)/50 s (test II, III) | 40 s (test I)/50 s (test II, III) | Step size/s | 0.01 s | 0.01 s | 0.01 s | Iterative method | Runge-Kutta | Runge-Kutta | Runge-Kutta | | 0.02 | [0, 0.05] | [0, 0.05] | | 0.005 | [0, 0.01] | [0, 0.01] | | 0.02 | [0, 0.05] | [0, 0.05] | | — | — | [−0.1, 0.1] | | 1 | [0, 2] | [0, 2] | | 0 | [0, 0.01] | [0, 0.01] | | 1 | [0, 2] | [0, 2] | | — | — | [−0.01, 0.01] | | 0.005 | [0, 0.01] | [0, 0.01] | | 0 | [0, 0.01] | [0, 0.01] | | 0.000 5 | [0, 0.001] | [0, 0.001] | | — | — | [−0.1, 0.1] | | 1 | [0, 2] | [0, 2] | | 0 | [0, 0.01] | [0, 0.01] | | 3 | [0, 5] | [0, 0.01] | | — | — | [−0.01, 0.01] |
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