Problem 4. (20 points) In the figure below, a second-order plant is under PI control, where a and b are constant control

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Problem 4. (20 points) In the figure below, a second-order plant is under PI control, where a and b are constant control

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Problem 4 20 Points In The Figure Below A Second Order Plant Is Under Pi Control Where A And B Are Constant Control 1
Problem 4 20 Points In The Figure Below A Second Order Plant Is Under Pi Control Where A And B Are Constant Control 1 (78.53 KiB) Viewed 30 times
Problem 4. (20 points) In the figure below, a second-order plant is under PI control, where a and b are constant control gains. Controller Ris) + Ecs) U(s) Plant 9 52+25+9 Yrs) b at s (a) For the plant, compute the 100% rise time, maximum overshoot and settling time (with a 2% criterion) of its response subject to a unit step input. (10 points) (b) Determine the conditions on the control gains a and b such that the closed-loop system is stable. (10 points)
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