Estimate the maximum overshoot, the peak time, and the

Chapter , Problem 8.44

(choose chapter or problem)

Estimate the maximum overshoot, the peak time, and the rise time of the unit-step response of the following model if \(f(t)=5000 u_{s}(t)\) and the initial conditions are zero.

\(\frac{d^{4} y}{d t^{4}}+26 \frac{d^{3} y}{d t^{3}}+269 \frac{d^{2} y}{d t^{2}}+1524 \frac{d y}{d t}+4680 y=f(t)\)

Its roots are

\(s=-3 \pm 6 j, \quad-10 \pm 2 j\)

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