Reference no: EM131705511

Assignment

7. (a) FIGURE 1 shows the input and output waveforms for a proportional plus integral controller. State:

(i) the controller's proportional gain.
(ii) the controller's integral action time.

FIGURE 1

(b) FIGURE 2 shows a proportional plus derivative controller that has a proportional band of 20% and a derivative action time of 0.1 minutes. Construct the shape of the output waveform for the triangular input waveform shown, if the input rises and falls at the rate of 4 units per minute.

FIGURE 2

8. (a) FIGURE 3 shows the closed-loop response of a plant to a step input when the proportional only gain was set to 4. Use the 'Quarter Amplitude Response Method' to estimate the required settings of a P + I + D controller.

FIG. 3 Plant Response to Step Input

(b) If the same plant was 'tuned' using the 'Ultimate Cycle Method', estimate the P + I + D controller settings if a proportional only gain of 6 was required to produce steady oscillations.