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Given a unity feedback system with G(s) = 12 s(8+5)* A proportional controller Kp is inserted before G. Find the roots of the characteristic equation that would yield a damping ratio of 0.5 for the closed-loop system. Roots = What is the value of Kp that would yield these roots? Answer: tj What is the percent overshoot at this damping ratio? Answer:

Given a unity feedback system with G(s) = 12 s(8+5)* A proportional controller Kp is inserted before G. Find the roots of the characteristic equation that would yield a damping ratio of 0.5 for the closed-loop system. Roots = What is the value of Kp that would yield these roots? Answer: tj What is the percent overshoot at this damping ratio? Answer:

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Given a unity feedback system with G(s) = A proportional controller Kp is inserted before G. Find the roots of the characteristic equation that would yield a damping ratio of 0.5 for the closed-loop system. Roots = ±j 12 s(s+5) What is the value of Kp that would yield these roots? Answer: What is the percent overshoot at this damping ratio? Answer: Increasing the gain (beyond the answer you got in the previous item) will increase the % overshoot. Select one: O True False There are values of K that would reduce the settling time to 1.25 seconds or less. (Use settling time T, = 5 time constants in your computations for this and the succeeding problems). Select one: O True False Adding a PD controller (instead of a P controller) can reduce the settling time to less than 1 second. Which of the following locations for the controller zero will achieve this? -8 -1 The transfer function of the PD controller is Gc(s) = Kd(s − 2) where z is the zero in your answer above. What is the smallest value of K that would yield a settling time of less than 1 second? Give at least 3 digits after the decimal point. Answer:
Transcribed Image Text:Given a unity feedback system with G(s) = A proportional controller Kp is inserted before G. Find the roots of the characteristic equation that would yield a damping ratio of 0.5 for the closed-loop system. Roots = ±j 12 s(s+5) What is the value of Kp that would yield these roots? Answer: What is the percent overshoot at this damping ratio? Answer: Increasing the gain (beyond the answer you got in the previous item) will increase the % overshoot. Select one: O True False There are values of K that would reduce the settling time to 1.25 seconds or less. (Use settling time T, = 5 time constants in your computations for this and the succeeding problems). Select one: O True False Adding a PD controller (instead of a P controller) can reduce the settling time to less than 1 second. Which of the following locations for the controller zero will achieve this? -8 -1 The transfer function of the PD controller is Gc(s) = Kd(s − 2) where z is the zero in your answer above. What is the smallest value of K that would yield a settling time of less than 1 second? Give at least 3 digits after the decimal point. Answer:
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