Question

Asked Nov 29, 2019

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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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