By employing MATLAB, perform the root locus plot of the following control system whose open-loop transfer function
G(s)H(s)=K G_{o}(s)={\frac{K(s^{2}+1)}{s(s^{2}+100)}}
The input to and output from MATLAB are included in Program Listing 11.5 and Figure 11E5, respectively.
Program Listing 11.5
>> num = [0 1 0 1];
>> den = [1 0 100 0];
>> rlocus(num,den,‘k’)
>> title(‘Root Locus Plot of Example 5 Section 11.8’)