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Problem 4. Considering the four different responses recorded at different occasions to a step input of r(t)=2u(t) on the right-hand side (a) Propose a transfer function that produced the underdamped response. (b) Write a general expression for the response of Gl. (c) What would be the order of the system G3? Why? Propose a transfer function. (d) Which system would be critically damped? Why? Write its transfer function using the wn of Gl. (e) Which system would be overdamped? Why? 2.5 Amplitude: 2.4 1.5 Amplitude System: G1 Time (seconds): 2 0.5 Step Response System: G2 Time (sec.): 3.23 Amplitude: 1.96 System: G3 Time (seconds): 0.5 Amplitude: 1.26 Time (seconds) System: G4 Time (seconds): 9.11 Amplitude: 1.96 10 12 14

Problem 4. Considering the four different responses recorded at different occasions to a step input of r(t)=2u(t) on the right-hand side (a) Propose a transfer function that produced the underdamped response. (b) Write a general expression for the response of Gl. (c) What would be the order of the system G3? Why? Propose a transfer function. (d) Which system would be critically damped? Why? Write its transfer function using the wn of Gl. (e) Which system would be overdamped? Why? 2.5 Amplitude: 2.4 1.5 Amplitude System: G1 Time (seconds): 2 0.5 Step Response System: G2 Time (sec.): 3.23 Amplitude: 1.96 System: G3 Time (seconds): 0.5 Amplitude: 1.26 Time (seconds) System: G4 Time (seconds): 9.11 Amplitude: 1.96 10 12 14

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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Problem 4. Considering the four different responses recorded at different occasions to a step input of r(t)=2u(t) on the right-hand side (a) Propose a transfer function that produced the underdamped response. (b) Write a general expression for the response of Gl. (c) What would be the order of the system G3? Why? Propose a transfer function. (d) Which system would be critically damped? Why? Write its transfer function using the w, of Gl. (e) Which system would be overdamped? Why? 2.5 Amplitude: 2.4 1.5 Amplitude 1 System: G1 Time (seconds): 2 0.5 Step Response System: G2 Time (sec.): 3.23 Amplitude: 1.96 System: G3 Time (seconds): 0.5 Amplitude: 1.26 6 Time (seconds) System: G4 Time (seconds): 9.11 Amplitude: 1.96 10 12 14
Transcribed Image Text:Problem 4. Considering the four different responses recorded at different occasions to a step input of r(t)=2u(t) on the right-hand side (a) Propose a transfer function that produced the underdamped response. (b) Write a general expression for the response of Gl. (c) What would be the order of the system G3? Why? Propose a transfer function. (d) Which system would be critically damped? Why? Write its transfer function using the w, of Gl. (e) Which system would be overdamped? Why? 2.5 Amplitude: 2.4 1.5 Amplitude 1 System: G1 Time (seconds): 2 0.5 Step Response System: G2 Time (sec.): 3.23 Amplitude: 1.96 System: G3 Time (seconds): 0.5 Amplitude: 1.26 6 Time (seconds) System: G4 Time (seconds): 9.11 Amplitude: 1.96 10 12 14
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