Use a software package such as MATLAB to plot the step

Chapter , Problem 8.46

(choose chapter or problem)

Use a software package such as MATLAB to plot the step response of the following model for three cases: a = 0.2, a = 1, and a = 10. The step input has a magnitude of 2500.

\(\frac{d^{4} y}{d t^{4}}+24 \frac{d^{3} y}{d t^{3}}+225 \frac{d^{2} y}{d t^{2}}+900 \frac{d y}{d t}+2500 y=f+a \frac{d f}{d t}\)

Compare the response to that predicted by the maximum overshoot, peak time, 100% rise time, and 2% settling time calculated from the dominant roots.

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