By employing MATLAB, perform the Bode plots of magnitude and phase of the control system in Example 3 of Section 11.8.1. The transfer function is
G(s)={\frac{s+1}{s^{4}+3s^{2}+12s^{2}-16s}}
The input to and output from MATLAB are included in Program Listing 11.9 and Figure 11E9.
Program Listing 11.9
>> num = [0 0 0 1 1];
>> den = [1 3 12 −16 0];
>> bode(num,den)
>> title(‘Bode Plot of a fourth order system’)