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(5s+10)}{s^{2}(s+1)}
Expanding the given open-loop transfer function, one has
G_{o}(s)={\frac{5s+10}{s^{3}+s^{2}}}
The input to and output from MATLAB are included in Program Listing 11.2 and Figure 11E2.
Program Listing 11.2 >> num = [0 0 5 10]; >> den = [1 1 0 0]; >> rlocus(num,den,‘k’) >> title(‘Root Locus Plot of Example 2 Section 11.8’)