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? 25 Amplitude 0.5 System: G1 Time (seconds) 2 Step Response Amplitude: 2.4 System G2 Time (sec): 323 Amplitude: 1.96 System 63 Time (seconds): 0.5 Amplitude: 1.26 Time (seconds) System: G4 Time (seconds): 9.11 Amplitude: 1.96

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Considering the four different responses
recorded at different occasions to a step input of
r(1)=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?
System: G1
Time (seconds): 2 Step Response
25 Amplitude: 2.4
Amplitude
1.5
0.5
System: G2
Time (sec.): 3.23
Amplitude: 1.96
Systemc G3
Time (seconds): 0.5
Amplitude: 1.26
Time (seconds)
System: G4
Time (seconds): 9.11
Amplitude: 1.96
12
14
Transcribed Image Text:Considering the four different responses recorded at different occasions to a step input of r(1)=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? System: G1 Time (seconds): 2 Step Response 25 Amplitude: 2.4 Amplitude 1.5 0.5 System: G2 Time (sec.): 3.23 Amplitude: 1.96 Systemc G3 Time (seconds): 0.5 Amplitude: 1.26 Time (seconds) System: G4 Time (seconds): 9.11 Amplitude: 1.96 12 14
System: G1
Time (seconds): 2
25 Amplitude: 2.4
Amplitude
N
1.5
0.5
Step Response
System: G2
Time (sec): 3:23
Amplitude: 1.96
System: G3
Time (seconds): 0.5
Amplitude: 1.26
8
Time (seconds)
System: G4
Time (seconds): 9.11
Amplitude: 1.96
10
ta
14
Transcribed Image Text:System: G1 Time (seconds): 2 25 Amplitude: 2.4 Amplitude N 1.5 0.5 Step Response System: G2 Time (sec): 3:23 Amplitude: 1.96 System: G3 Time (seconds): 0.5 Amplitude: 1.26 8 Time (seconds) System: G4 Time (seconds): 9.11 Amplitude: 1.96 10 ta 14
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