Explore BrainMass

Using MATLAB to Help Solving Problem on a System

A linear time-invariant discrete-time system has transfer function

H (z) = z² - z - 2
z² - 1.5z - 1

b. Compute the step response using MATLAB commands like conv and residue.


Question 1
a. Plot the Bode plots (both magnitude and phase) for the given transfer function

H (s) = 1000(s + 1)/(s+20)²

Use the command semilogx to make your plots.

b. What kind of filter is this? What is the bandwidth of the filter?

Question 2

Consider the system given by the following transfer function:

H(s) = 242.5(s +8)
(s + 2)[(s + 4)² + 81](s + 10)

a. Identify the poles and zeros of the system.
b. Is the system stable? Why or why not?
c. What is the steady-state value for the step response.
d. Use Simulink to simulate the step response. Use the 'Zero-Pole' continuous model for the system with a gain of 242.5. For the sink, you can use the step function provided. Please include a copy of the model along with a plot of the output either from the scope or the simout variables
e. Is the steady-state value from the simulation the same as in part c?
f. Is the response more like a first-order system or a second-order system?