Question: A second order under damped system exhibited a (15 %) maximum overshoot on being excited by a step input (r(t)=2 u(t)), and then attained a

A second order under damped system exhibited a \(15 \%\) maximum overshoot on being excited by a step input \(r(t)=2 u(t)\), and then attained a steady state value of 2 (see figures given). If, at \(t=t_{0}\), the input were changed to a unit step \(r(t)=u(t)\), then its time response \(c(t)\) would be similar to:

funtim (a) c(t) 2 3 to (b) c(1) 2 punt to t

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funtim (a) c(t) 2 3 to (b) c(1) 2 punt to t

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