By employing MATLAB, perform the Bode plots of magnitude and phase of the control system in Example 5 of Section 11.8.1. The transfer function is
G(s)={\frac{s^{2}+1}{s(s^{2}+100)}}
The input to and output from MATLAB are included in Program Listing 11.11 and Figure 11E11, respectively.
Program Listing 11.11
>> num = [0 1 0 1];
>> den = [1 0 100 0];
>> bode(num,den)
>> title(‘Bode Plot of a third order system’)