Transient Response

Transient Response

Transient.jpg

Figure above illustrates the transient response of the control system with parameter Kp = 7 and Ki = 0.1.

Rise Time (0% to 90%) = tr = 18.4 – 5.5 = 12.9s
Maximum Overshoot = Mp = (10.3-10)/(10-7) × 100%= 10%
1% Settling Time = ts = 28.2 – 5.5 = 22.7s
Steady State Error ≈ 0.1 pH = 1%

If you notice, there is a slight delay of 2 second before the pH start to change. This is due to the solution taking time to travel from the reservoir to the system through the long tubes.

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