4. [12 pts] The tank water level control system is shown in Figure 6 The measure

Question

4. [12 pts] The tank water level control system is shown in Figure 6 The measured water level response h(t) is shown in Figure 7. The reference signal (dashed line) is a step function that increases from 14 to 16cm at 25s. Water Pump Three data points ofh(r) are listed in Table 2, where point #2 is the peak point. Calculate the following specifications of the measured step response 1) Percentage Overshoot; 2) Steady state error 3) Peak time r Water Figure 6 Tank water level control system 6.5 16 15.5 15 14.5 -Measured response Reference signal 14 25 26 2728 29 30 31 32 33 34 35 Time t (sec) Figure 7 Measured tank water level response of the closed-loop system Table 2 Data points in Figure 6 7 Port # |, (sec) | h (cm) 25.0 14.00 26.8 1619 3 1347 11594

Explanation / Answer

1 ) The peak value is 16.25 so the over shoot

100*0.25 / 2 = 0.5 %

2 ) steady state error is 0.05

3) From the figure peak time is 1.5 seconds

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