Acontrol system has the following open-loop transfer function: a) draw the bode magnitude and the phase plots for .in particular: - draw the asymptotes and indicate their slopes, then sketch the real curves.- clearly mark the cutoff frequencies. b) calculate the phase margin the crossover frequency () and indicate them on the bode plots. using , estimate the damping ratio for the closed-loop poles. c) calculate the gain margin gm, the frequency at -180 deg () and indicate them on the bode plots.