Question: Consider the feedback control system in Figure CP12.4. The exact value of parameter b is unknown; however, for design purposes, the nominal value is taken

Consider the feedback control system in Figure CP12.4. The exact value of parameter b is unknown; however, for design purposes, the nominal value is taken to be h = 4. The value of a - 8 is known very precisely.
(a) Design the proportional controller K so that the closed-loop system response to a unit step input has a settling time (with a 2% criterion) less than 5 seconds and an overshoot of less than 10%. Use the nominal value of b in the design.
(b) Investigate the effects of variations in the parameter b on the closed-loop system unit step response.
Let b = 0,1,4, and 40, and co-plot the step response associated with each value of b. In all cases, use the proportional controller from part
(a). Discuss the results.
FIGURE CP12.4
A feedback control system with uncertain parameter b.

Controller Plant

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