(e) The responses in the figure below are for a unit step change in the disturbance with just P-control. One of the responses used a controller gain of Ke = 5 and the other used a controller gain of Ke = 8. Match the controller gains with the responses. Response to a Unit Step Change in Disturbance With P-Control 0.07 Response 1 --- Response 2 0.06 3 0.05 I 0.04 H S 0.03 0.02 0.01 10 15 20 Time (min) Change in Process Output -------

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(e) The responses in the figure below are for a unit step change in the disturbance with just P-control. One of the responses used a controller gain of \(K_c = 5\) and the other used a controller gain of \(K_c = 8\). Match the controller gains with the responses.

**Graph: Response to a Unit Step Change in Disturbance With P-Control**
- **X-axis:** Time (min) from 0 to 20
- **Y-axis:** Change in Process Output from 0.01 to 0.07
- Two response lines are shown:
  - **Response 1:** Solid black line
  - **Response 2:** Dashed red line
- Both lines indicate changes in process output over time.

(f) The responses in the figure below are for a unit step change in set point with a PI controller. The gain is the same for both responses, but one response uses an integral time of \( \tau_1 = 1 \) min and the other uses an integral time of \( \tau_1 = 2 \) min. Match the integral times for the PI controllers with the responses.

**Graph: Response to a Unit Step Change in Set Point With PI-Control**
- **X-axis:** Time (min) from 0 to 20
- **Y-axis:** Change in Process Output from 0.2 to 1.6
- Two response lines are shown:
  - **Response 1:** Solid black line
  - **Response 2:** Dashed red line
- Lines depict changes in process output over time.

(h) Determine the missing information for the sensor system in the following table. The output for the sensor system is a mA signal.

| Range | Zero | Span | Sensor Gain | Input | Output (mA) |
|-------|------|------|-------------|-------|-------------|
| 100 F |      |      | 0.20 mA/F   |       | 10 mA       |
Transcribed Image Text:(e) The responses in the figure below are for a unit step change in the disturbance with just P-control. One of the responses used a controller gain of \(K_c = 5\) and the other used a controller gain of \(K_c = 8\). Match the controller gains with the responses. **Graph: Response to a Unit Step Change in Disturbance With P-Control** - **X-axis:** Time (min) from 0 to 20 - **Y-axis:** Change in Process Output from 0.01 to 0.07 - Two response lines are shown: - **Response 1:** Solid black line - **Response 2:** Dashed red line - Both lines indicate changes in process output over time. (f) The responses in the figure below are for a unit step change in set point with a PI controller. The gain is the same for both responses, but one response uses an integral time of \( \tau_1 = 1 \) min and the other uses an integral time of \( \tau_1 = 2 \) min. Match the integral times for the PI controllers with the responses. **Graph: Response to a Unit Step Change in Set Point With PI-Control** - **X-axis:** Time (min) from 0 to 20 - **Y-axis:** Change in Process Output from 0.2 to 1.6 - Two response lines are shown: - **Response 1:** Solid black line - **Response 2:** Dashed red line - Lines depict changes in process output over time. (h) Determine the missing information for the sensor system in the following table. The output for the sensor system is a mA signal. | Range | Zero | Span | Sensor Gain | Input | Output (mA) | |-------|------|------|-------------|-------|-------------| | 100 F | | | 0.20 mA/F | | 10 mA |
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