Question

1. Consider a transfer function of a system 25 s? + 4s + 25 a) Simulation i. Using any simulation software package, plot the poles on the s-plane. ii. Using unit step input, plot the transient response when there is no additional third pole to the system. iii. Using unit step input, plot the transient response when there is an additional third pole occur at -200, -20, -10, and -2. Plot them in a single graph. Normalize all the plots to a steady-state value of unity. iv. Record percent overshoot, rise time, peak time, and settling time for each response/plot. V. Put the third pole at +2. On a separate graph, plot the transient response. vi. Plot all the poles on the s-plane. b) Discuss your results. Consider the location of the poles, percent overshoot, rise time, peak time, and settling time in your discussion. c) Using a real-world example (or even using electrical system, mechanical system, etc that you know), what would happen to the behavior of the system when the third pole is placed near the dominant second-order pole pair and when the third pole is placed far from the dominant poles.

Answer 1

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