By applying MATLAB, perform the Bode plots of magnitude and phase for the third-order system whose transfer function is given by Equation (11.9) as
G(s)={\frac{5}{10s^{3}+31s^{2}+253s+\ 25}} (11.9)
The input to and output from MATLAB are included in Program Listing 11.7 and Figure 11E7.
Program Listing 11.7
>> num = [0 0 0 5];
>> den = [10 31 253 25];
>> bode(num,den)
>> title(‘Bode Plot of a Third Order System’)
The Bode plots in Figure 11E7 compare very well with the asymptotic Bode plots in Figure 11.4 in Section 11.2