The given plots are of five different systems Match each Bod

The given plots are of five different systems.

Match each Bode plot to its corresponding step response.

Bode plot 1

Bode plot 2

Bode plot 3

Bode plot 4

Bode plot 5

a. step response 1

b. step response 2

c. step response 3

d. step response 4

e. step response 5

Bode plots 50 0 S -50 -100 150 .45 -135 180 10 10 10 Frequency (rad/s) Step Responses 1.8 1.6 1.2 40.8 0.6 0.4 0.2 40 60 Time (seconds) 20 80 100 120

Solution

Ans)

1.Bode plot 1----------------b)step response 2

With peak at corner frequency in bode plot indicates system is underdamped with large oscillations

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2.Bodeplot 2------------------a)step response 1

Bode plot with less corner frequency of all takes more time to reack final value and it is over damped,step response 1 will take longer time to reach final value

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3.Bode plot 3--------------- e)step response 5,

Critically damped system ,no peak over shoot faster rise time,Bode plot will follow asymptodically

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4.Bode plot 4----------------- c)step response 3

It is underdamped but slower than the bode plot 4 ,so it will have peak overshoot and faster rise time ,so answer is step response 3

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5.Bode plot 5----------------d) step response 4

Bode plot with larger corner frequency will take less time to reach final value and overshoot occurs as magnitude at corner frequency is above 0, step response 4 will take less time of all with peak over shoot