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Use the following system as a reference G_{1}(s)=\frac{100}{s^{2}+24 s+100} a) Plot the transient response of the above function. b) Use the step info command to determine Tr, TP, Ts, the %OS and the damping factor. c) Find the poles and zeros of this system. Try the commands pole(y), zero(y), pzplot(y) d) Compare the results of the above transfer function to the following transfer function: G_{2}(s)=\frac{10}{s^{2}+24 s+100} G_{3}(s)=\frac{200}{s^{2}+24 s+100} G_{4}(s)=\frac{500}{s^{2}+24 s+100} e) Tabulate all the results to compare between these systems. f) Comment on the differences between these systems.

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