Question
Asked Nov 29, 2019
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3. Find the transfer functions of the two systems on the next page.
Bode Diagram
80
60
40
20
40
90
135
180
102
101
Frequency (rads)
100
10
Phase (deg)
Magnitude (dB)
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3. Find the transfer functions of the two systems on the next page. Bode Diagram 80 60 40 20 40 90 135 180 102 101 Frequency (rads) 100 10 Phase (deg) Magnitude (dB)

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Expert Answer

Step 1

Relative order of system

 

It is known that the pole of the transfer function at high frequencies contribute -90 degree to the phase and the zero of the transfer functions contribute +90 degree. It is seen from the phase diagram of the bode plot that phase diagram is ending at -180 degree. This clearly shows that transfer function contains 2 more pole than zero.

Step 2

Number of Poles and zeros

 

To decide the number of poles and zeros of the transfer function, analyse the magnitude plot of the bode plot.

 

Initially the slope of magnitude is -20 dB/dec and it ends with slope of -40 dB/dec. This shows that transfer function contains two poles and no zeros.

Step 3

Location of Poles and zeros

 

From the magnitude plot, it is found out that the slope of plot starts by -20 dB/dec, so the transfer function will be type 1 system and one pole will be at 0.

 

From the phase diagram, plot start at -90 degree. To find out the second slope of the transfer function, extend the asymptotic lines at the be...

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K G(s)= +1

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