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.

Acarnot refrigerator operates in a room in which the temperature is 21°c and of power when operating. if the food compartment of the refrigerator is consumes 3 kw to be maintained at 2°c, determine (a) the coefficient of performance of the cycle and (b) the rate of heat removal from the food compartment. refrigerator cycle that has a higher coefficient of performance than that of the discussed (e) is it possible to develop a carn ot refrigerator, operating between the same temperature limits? explain