The magnitude plot of the open loop transfer function G(s), of a certain system is given in fig,

(a) Determine G(s), if it is known that the system is of minimum phase type.

(b) Estimate the phase at each of the corner frequencies.

The popular plot of G(s)=$${{10} \over {s{{\left( {s + 1} \right)}^2}}},$$ intercepts real axix at $$\omega = {\omega _0}$$ Then, the real part and $${\omega _0}$$ are respectively given by

A system has fourteen poles and two zeroes. Its high frequency asymptote, in its magnitude plot, has having a slope of

For the system shown in figure the transfer function $$\frac{\mathrm C\left(\mathrm s\right)}{\mathrm R\left(\mathrm s\right)}$$ is equal to