Question

Consider the following transfer functions: \text { 1. } \quad G \square_{1}(s)=\frac{s}{s^{2}+10 s+89} 2 \quad G \square_{2}(s)=\frac{s^{2}+25}{s^{3}+4 s^{2}+29 s} \text { 3. } G \square_{3}(s)=\frac{s+10}{s^{2}+15 s+56} For the three transfer

functions above, perform the following task in Matlab: For each of the systems above, define the transfer functions in Matlab. Plot the poles and zeros in the complex plane using pzmap. Your answer should be three plots.Comment on the stability of each system. c)Find the unit impulse response of the systems above. Your answer should be three plots. d) Find the unit step response for each of the transfer functions above and plot your input and response on the same plot for each transfer function. Your answer should be three plots e) Generate the Bode Plots for each of the transfer functions above.

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