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QUESTION 1 R(s) + E(s) G(s) C(s) A unity feedback system is given in the above figure where the system G(s) is given by K G(s) = s²+as+b The values of constants are K = 50, a = 4, and b = 7. a. Determine the closed-loop transfer function, T(s) = C/s)/R(s) b. What are the closed-loop poles of the system? c. For a step input, determine the type of damping the system output experiences (critically damped, undamped, etc.) d. If the response is underdamped, determine the percent overshoot, settling time, and peak time. Clearly show your work.

QUESTION 1 R(s) + E(s) G(s) C(s) A unity feedback system is given in the above figure where the system G(s) is given by K G(s) = s²+as+b The values of constants are K = 50, a = 4, and b = 7. a. Determine the closed-loop transfer function, T(s) = C/s)/R(s) b. What are the closed-loop poles of the system? c. For a step input, determine the type of damping the system output experiences (critically damped, undamped, etc.) d. If the response is underdamped, determine the percent overshoot, settling time, and peak time. Clearly show your work.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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QUESTION 1 R(s) + E(s) G(s) C(s) A unity feedback system is given in the above figure where the system G(s) is given by K G(s) = s²+as+b The values of constants are K = 50, a = 4, and b = 7. a. Determine the closed-loop transfer function, T(s) = C/s)/R(s) b. What are the closed-loop poles of the system? c. For a step input, determine the type of damping the system output experiences (critically damped, undamped, etc.) d. If the response is underdamped, determine the percent overshoot, settling time, and peak time. Clearly show your work.
Transcribed Image Text:QUESTION 1 R(s) + E(s) G(s) C(s) A unity feedback system is given in the above figure where the system G(s) is given by K G(s) = s²+as+b The values of constants are K = 50, a = 4, and b = 7. a. Determine the closed-loop transfer function, T(s) = C/s)/R(s) b. What are the closed-loop poles of the system? c. For a step input, determine the type of damping the system output experiences (critically damped, undamped, etc.) d. If the response is underdamped, determine the percent overshoot, settling time, and peak time. Clearly show your work.
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