Question

1. a) Use MATLAB or Excel to create a Bode plot of the transfer function G(S) +0.5 0.5 s 1.0. for 0.0 1 a) 100 b) Discretize the transfer function using a backwards difference (Euler) transformation. Write a routine in MATLAB or Excel to calculate the output of the transfer function given an input signal. Use your routine to calculate the outputs for the following sinusoidal inputs (1-sin ?): Case | .0 1.0s | a) (Step size for discretization 2 0.50.1 sec 3 5.00.01 sec Plot four cycles of input and output signals vs. time and calculate the magnitude (in dB) of the output to input ratio and the phase shift (in degrees) of the output relative to the input. Plot these results on the Bode plot from part a). Be sure to run enough cycles for the transient response to die out

I know how to do part a but i really need help with part B. Thanks

Answer 1

Command Window >> % NAME tf (num, den) > num 0.5 num 0. 5000 a l 2 b- 0.5 >NAME-tf (num, [a bl) NAME 0.5 s + 0. Continuous-time transfer function bode (NAME) fr

Figure 1 File Edit View Insert Tools Desktop Window Help Bode Diagram 0 ︶-10 -30 d) -45 -90 2 10 10 Frequency (rad/is) tinuous-time transter fun ction.