Control Systems...

The loop transfer function of a system is given by \(G\left( s \right) = \frac{{{e^{ - 0.1s}}}}{s}\). The phase crossover frequency is given by

It is known that the Nyquist plot of a control system does not intersect the negative real axis. Then the gain margin of the system is

The open loop transfer function of a unity negative feedback control system is given by

\(G\left( s \right) = \frac{{400{{\left( {1 + 0.2s} \right)}^2}\left( {s + 4} \right)}}{{{{\left( {1 + 0.5s} \right)}^2}\left( {{s^2} + 6s + 9} \right)}}\)

The slope of the asymptote between the corner frequency 3 rad/sec and 4 rad/sec in the bode plot of the system is ______ (in dB/dec)

A unit feedback system has a loop transfer function \(G\left( s \right) = \frac{{\pi {e^{ - 0.5s}}}}{s}\) 

Which of the following statements is/are true?

A unity feedback system has the open loop transfer function \(G\left( s \right) = \frac{1}{{\left( {s - 1} \right)\left( {s + 2} \right)\left( {s + 3} \right)}}\). How many times the Nyquist plot of G(s) encircles the origin?