Bill Goodwine's Courses

Reading assignment: We have covered all of Chapter 8 at this point. This homework also covers Chapter 9, sections 9.1, 9.4-9.6 and 9.8.

These may seem like a lot of problems, but quite a bit of the second half of it is simply churning through some matlab.

1. Problem 8.3
2. Problem 9.1
3. Problem 9.2
4. Problem 9.4 (you may use matlab commands to do this problem)
5. Problem 9.5
6. Use the matlab pzmap(), step() and impulse() commands to plot the poles and zeros, the step responses and the impulse responses for the following transfer functions:
   • 
   and
   • 
   Are the responses as you expect? Explain why or why not.
7. Use the matlab pzmap() command to plot the poles and zeros and the step() command to plot the step response for
   • 
   for z = -20, -5, -1, -.1, .1 and 1. Are the responses what you expect? Explain why or why not.
8. Use the matlab pzmap() to plot the poles and zeros and the step() command to plot the step response for
   • 
   for p = -20, -5, -1, -.1, .1 and 1. Are the responses what you expect? Explain why or why not.
9. Use block diagram algebra to determine Y(s)/R(s) in the following figure.
   • 
10. Use block diagram algebra to determine Y(s)/R(s) in the following figure.
    • 
11. Determine Y(s)/R(s) for
    • 
    If
    • 
    then use the matlab pzmap() to compute the poles and zeros for k=0.01, .1, .4, .8, 1, 2, 4, 5, 7 and 10. Plot them on the same graph.
    1. From the location of the poles in the complex plane for what values of k does the step response have a percentage overshoot less than 10%?
    2. From the location of the poles in the complex plane, for what values of k does the step response have a rise time less than 0.6 seconds?
    3. Is there a value for k that can satisfy both specifications simultaneously?

Would you like us to pring out and turn in our plots for Questions 6-8?

-Thanks

Irish09 wrote:Would you like us to pring out and turn in our plots for Questions 6-8?

-Thanks

Yes, submit plots too. It is o.k. to fit more than one on one plot if it remains legible.

for Problem 6 (part 1) and 7... should the denominator be
s^2 +2*s + 4 ?

sorry nevermind, i glanced over it too fast.