By applying MATLAB, perform the Bode and Nyquist plots in the complex plane of the thirdorder system whose transfer function is given by
G(s)H(s)=K G_{o}(s)={\frac{K}{s(s+4)(s+5)}}={\frac{K}{s^{3}+9s^{2}+20s}}
The input to and output from MATLAB are included in Program Listing 11.13 and Figure 11E13
Program Listing 11.13
>> num = [0 0 0 1];
>> den = [1 9 20 0];
>> bode(num,den)
>> title(‘Bode Plot of a Third Order System’)
>> nyquist(num,den)
>> title(‘Nyquist Plot of a Third Order System’)