Homework 7, due March 26, 2008.

Due Wednesday, March 26, 2008.
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goodwine
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Homework 7, due March 26, 2008.

Post by goodwine »

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:
    • Image
    and
    • Image
    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
    • Image
    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
    • Image
    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.
    • Image
  10. Use block diagram algebra to determine Y(s)/R(s) in the following figure.
    • Image
  11. Determine Y(s)/R(s) for
    • Image
    If
    • Image
    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?
Bill Goodwine, 376 Fitzpatrick
Irish09

Post by Irish09 »

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

-Thanks
goodwine
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Posts: 1596
Joined: Tue Aug 24, 2004 4:54 pm
Location: 376 Fitzpatrick
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Post by goodwine »

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.
Bill Goodwine, 376 Fitzpatrick
llechner

Post by llechner »

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

Post by llechner »

sorry nevermind, i glanced over it too fast.
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