Control Systems...

A plant has an open-loop transfer function

\({G_P}\left( s \right) = \frac{{20}}{{\left( {s + 0.1} \right)\left( {s + 2} \right)\left( {s + 100} \right)}}\)

The approximate model obtained by retaining only one of the above poles, which is closest to the frequency response of the original transfer function at low frequency is

A second order system has the following properties.

The damping ratio, ξ = 0.8 damped frequency, ω_d = 6 rad/sec

The DC gain of the system is 2.

The transfer function of the system is

For a system having transfer function \(G\left( s \right) = \frac{{2 - s}}{{2 + s}}\), a step input is applied at time t = 0. The value of the system at t = 2 sec is ______ (rounded off to three decimal places)