## Homework 7, due March 26, 2008.

Due Wednesday, March 26, 2008.
goodwine
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Joined: Tue Aug 24, 2004 4:54 pm
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### Homework 7, due March 26, 2008.

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?
Bill Goodwine, 376 Fitzpatrick
Irish09
Would you like us to pring out and turn in our plots for Questions 6-8?

-Thanks
goodwine
Posts: 1596
Joined: Tue Aug 24, 2004 4:54 pm
Location: 376 Fitzpatrick
Contact:
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
for Problem 6 (part 1) and 7... should the denominator be
s^2 +2*s + 4 ?
llechner
sorry nevermind, i glanced over it too fast.