For the following transfer function

obtain the step-response in Simulink for b = 0.98 and 0 = 15, 30, 60 rad/s and compare the results. Assume Ts = 0.01 s is the sampling period. Answer the following questions based on the simulation results:

(a) Draw the location of the zeros and poles of the system in the z-plane in each case. You can use the MATLAB functions pzmap and tf.

(b) Calculate the oscillation frequency of the step response for each case, based on the location of the system poles in the zplane. Measure the oscillation frequency of each step response using the simulation results and compare them to the calculated values.

1 T3(2) = 1 26 cos(woT3)2-1 + b2z-2 1 T3(2) = 1 26 cos(woT3)2-1 + b2z-2