4. (10 pts) Below is the plot of an open-loop RC circuit responding to a unit st

Question

4. (10 pts) Below is the plot of an open-loop RC circuit responding to a unit step input What is the value ofetme constant 0.25seconds 0.3 0.6 0.2 05 2.3 #3 5. A I order system is plced inside a feedback #2 control loop to evaluate two different controllers: a proportional (P) controller and a proportional + integral (P)-controller a. #1 (6 pts) On the right, the command input is a unit step function. Identify which curve 0.2 matches the description below Time I seel The command input is curve # The P controller response is curve " The PI controller response is curve # (6 pts) On the right, the command input is a matches the description below: . . #3 b. #2 Identify which curve #1 The command input is curve # The P controller response is curve # The PI controller response is curve #

Explanation / Answer

4) Time constant is the time when response reaches 63.21 % of its final value.

So, time constant is 0.5 seconds.

5) P controller reduces steady state error.

PI controller eliminates steady state error.

a) 3rd curve has no steady state error so it is PI, 2nd curve has less steady state error so it is P controller and 3rd have steady state error is command input.

The command input curve is #1

The P controller response curve is #2

The PI controller response curve is # 3

b) 3rd curve has no steady state error so it is PI, 2nd curve has small steady state error so it is P controller and 1st having larger steadt state error is command input.

The command input curve is #1.

The P controller response curve is # 2

The PI controller response curve is # 3

Related Questions

Navigate

• Browse (All)
• Browse 4
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.